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Simplifying 12 + -3(5 + -1x) = 3(4 + -1x) + -4(2 + -2x) 12 + (5 * -3 + -1x * -3) = 3(4 + -1x) + -4(2 + -2x) 12 + (-15 + 3x) = 3(4 + -1x) + -4(2 + -2x) Combine like terms: 12 + -15 = -3 -3 + 3x = 3(4 + -1x) + -4(2 + -2x) -3 + 3x = (4 * 3 + -1x * 3) + -4(2 + -2x) -3 + 3x = (12 + -3x) + -4(2 + -2x) -3 + 3x = 12 + -3x + (2 * -4 + -2x * -4) -3 + 3x = 12 + -3x + (-8 + 8x) Reorder the terms: -3 + 3x = 12 + -8 + -3x + 8x Combine like terms: 12 + -8 = 4 -3 + 3x = 4 + -3x + 8x Combine like terms: -3x + 8x = 5x -3 + 3x = 4 + 5x Solving -3 + 3x = 4 + 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. -3 + 3x + -5x = 4 + 5x + -5x Combine like terms: 3x + -5x = -2x -3 + -2x = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + -2x = 4 + 0 -3 + -2x = 4 Add '3' to each side of the equation. -3 + 3 + -2x = 4 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 4 + 3 -2x = 4 + 3 Combine like terms: 4 + 3 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5
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