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Simplifying 5(x + -12) + -4(x + 12) = 4x Reorder the terms: 5(-12 + x) + -4(x + 12) = 4x (-12 * 5 + x * 5) + -4(x + 12) = 4x (-60 + 5x) + -4(x + 12) = 4x Reorder the terms: -60 + 5x + -4(12 + x) = 4x -60 + 5x + (12 * -4 + x * -4) = 4x -60 + 5x + (-48 + -4x) = 4x Reorder the terms: -60 + -48 + 5x + -4x = 4x Combine like terms: -60 + -48 = -108 -108 + 5x + -4x = 4x Combine like terms: 5x + -4x = 1x -108 + 1x = 4x Solving -108 + 1x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -108 + 1x + -4x = 4x + -4x Combine like terms: 1x + -4x = -3x -108 + -3x = 4x + -4x Combine like terms: 4x + -4x = 0 -108 + -3x = 0 Add '108' to each side of the equation. -108 + 108 + -3x = 0 + 108 Combine like terms: -108 + 108 = 0 0 + -3x = 0 + 108 -3x = 0 + 108 Combine like terms: 0 + 108 = 108 -3x = 108 Divide each side by '-3'. x = -36 Simplifying x = -36
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