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