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Simplifying 3(x + -4) + -2(x + -4) = 4(x + 6) + x Reorder the terms: 3(-4 + x) + -2(x + -4) = 4(x + 6) + x (-4 * 3 + x * 3) + -2(x + -4) = 4(x + 6) + x (-12 + 3x) + -2(x + -4) = 4(x + 6) + x Reorder the terms: -12 + 3x + -2(-4 + x) = 4(x + 6) + x -12 + 3x + (-4 * -2 + x * -2) = 4(x + 6) + x -12 + 3x + (8 + -2x) = 4(x + 6) + x Reorder the terms: -12 + 8 + 3x + -2x = 4(x + 6) + x Combine like terms: -12 + 8 = -4 -4 + 3x + -2x = 4(x + 6) + x Combine like terms: 3x + -2x = 1x -4 + 1x = 4(x + 6) + x Reorder the terms: -4 + 1x = 4(6 + x) + x -4 + 1x = (6 * 4 + x * 4) + x -4 + 1x = (24 + 4x) + x Combine like terms: 4x + x = 5x -4 + 1x = 24 + 5x Solving -4 + 1x = 24 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + 1x + -5x = 24 + 5x + -5x Combine like terms: 1x + -5x = -4x -4 + -4x = 24 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + -4x = 24 + 0 -4 + -4x = 24 Add '4' to each side of the equation. -4 + 4 + -4x = 24 + 4 Combine like terms: -4 + 4 = 0 0 + -4x = 24 + 4 -4x = 24 + 4 Combine like terms: 24 + 4 = 28 -4x = 28 Divide each side by '-4'. x = -7 Simplifying x = -7
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