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Simplifying 3(x + -4) + -2(3x + 4) + -2(3x + 4) + -2(3x + 4) = 4(3 + -1x) + 5x + 4 Reorder the terms: 3(-4 + x) + -2(3x + 4) + -2(3x + 4) + -2(3x + 4) = 4(3 + -1x) + 5x + 4 (-4 * 3 + x * 3) + -2(3x + 4) + -2(3x + 4) + -2(3x + 4) = 4(3 + -1x) + 5x + 4 (-12 + 3x) + -2(3x + 4) + -2(3x + 4) + -2(3x + 4) = 4(3 + -1x) + 5x + 4 Reorder the terms: -12 + 3x + -2(4 + 3x) + -2(3x + 4) + -2(3x + 4) = 4(3 + -1x) + 5x + 4 -12 + 3x + (4 * -2 + 3x * -2) + -2(3x + 4) + -2(3x + 4) = 4(3 + -1x) + 5x + 4 -12 + 3x + (-8 + -6x) + -2(3x + 4) + -2(3x + 4) = 4(3 + -1x) + 5x + 4 Reorder the terms: -12 + 3x + -8 + -6x + -2(4 + 3x) + -2(3x + 4) = 4(3 + -1x) + 5x + 4 -12 + 3x + -8 + -6x + (4 * -2 + 3x * -2) + -2(3x + 4) = 4(3 + -1x) + 5x + 4 -12 + 3x + -8 + -6x + (-8 + -6x) + -2(3x + 4) = 4(3 + -1x) + 5x + 4 Reorder the terms: -12 + 3x + -8 + -6x + -8 + -6x + -2(4 + 3x) = 4(3 + -1x) + 5x + 4 -12 + 3x + -8 + -6x + -8 + -6x + (4 * -2 + 3x * -2) = 4(3 + -1x) + 5x + 4 -12 + 3x + -8 + -6x + -8 + -6x + (-8 + -6x) = 4(3 + -1x) + 5x + 4 Reorder the terms: -12 + -8 + -8 + -8 + 3x + -6x + -6x + -6x = 4(3 + -1x) + 5x + 4 Combine like terms: -12 + -8 = -20 -20 + -8 + -8 + 3x + -6x + -6x + -6x = 4(3 + -1x) + 5x + 4 Combine like terms: -20 + -8 = -28 -28 + -8 + 3x + -6x + -6x + -6x = 4(3 + -1x) + 5x + 4 Combine like terms: -28 + -8 = -36 -36 + 3x + -6x + -6x + -6x = 4(3 + -1x) + 5x + 4 Combine like terms: 3x + -6x = -3x -36 + -3x + -6x + -6x = 4(3 + -1x) + 5x + 4 Combine like terms: -3x + -6x = -9x -36 + -9x + -6x = 4(3 + -1x) + 5x + 4 Combine like terms: -9x + -6x = -15x -36 + -15x = 4(3 + -1x) + 5x + 4 -36 + -15x = (3 * 4 + -1x * 4) + 5x + 4 -36 + -15x = (12 + -4x) + 5x + 4 Reorder the terms: -36 + -15x = 12 + 4 + -4x + 5x Combine like terms: 12 + 4 = 16 -36 + -15x = 16 + -4x + 5x Combine like terms: -4x + 5x = 1x -36 + -15x = 16 + 1x Solving -36 + -15x = 16 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -36 + -15x + -1x = 16 + 1x + -1x Combine like terms: -15x + -1x = -16x -36 + -16x = 16 + 1x + -1x Combine like terms: 1x + -1x = 0 -36 + -16x = 16 + 0 -36 + -16x = 16 Add '36' to each side of the equation. -36 + 36 + -16x = 16 + 36 Combine like terms: -36 + 36 = 0 0 + -16x = 16 + 36 -16x = 16 + 36 Combine like terms: 16 + 36 = 52 -16x = 52 Divide each side by '-16'. x = -3.25 Simplifying x = -3.25
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