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Simplifying 3(x + -4) + -2(3x + 4) = 4(3 + -1x) + 5x + 4 Reorder the terms: 3(-4 + x) + -2(3x + 4) = 4(3 + -1x) + 5x + 4 (-4 * 3 + x * 3) + -2(3x + 4) = 4(3 + -1x) + 5x + 4 (-12 + 3x) + -2(3x + 4) = 4(3 + -1x) + 5x + 4 Reorder the terms: -12 + 3x + -2(4 + 3x) = 4(3 + -1x) + 5x + 4 -12 + 3x + (4 * -2 + 3x * -2) = 4(3 + -1x) + 5x + 4 -12 + 3x + (-8 + -6x) = 4(3 + -1x) + 5x + 4 Reorder the terms: -12 + -8 + 3x + -6x = 4(3 + -1x) + 5x + 4 Combine like terms: -12 + -8 = -20 -20 + 3x + -6x = 4(3 + -1x) + 5x + 4 Combine like terms: 3x + -6x = -3x -20 + -3x = 4(3 + -1x) + 5x + 4 -20 + -3x = (3 * 4 + -1x * 4) + 5x + 4 -20 + -3x = (12 + -4x) + 5x + 4 Reorder the terms: -20 + -3x = 12 + 4 + -4x + 5x Combine like terms: 12 + 4 = 16 -20 + -3x = 16 + -4x + 5x Combine like terms: -4x + 5x = 1x -20 + -3x = 16 + 1x Solving -20 + -3x = 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. -20 + -3x + -1x = 16 + 1x + -1x Combine like terms: -3x + -1x = -4x -20 + -4x = 16 + 1x + -1x Combine like terms: 1x + -1x = 0 -20 + -4x = 16 + 0 -20 + -4x = 16 Add '20' to each side of the equation. -20 + 20 + -4x = 16 + 20 Combine like terms: -20 + 20 = 0 0 + -4x = 16 + 20 -4x = 16 + 20 Combine like terms: 16 + 20 = 36 -4x = 36 Divide each side by '-4'. x = -9 Simplifying x = -9
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