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Simplifying -4(1 + -3x) = 2(5x + -7) (1 * -4 + -3x * -4) = 2(5x + -7) (-4 + 12x) = 2(5x + -7) Reorder the terms: -4 + 12x = 2(-7 + 5x) -4 + 12x = (-7 * 2 + 5x * 2) -4 + 12x = (-14 + 10x) Solving -4 + 12x = -14 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -4 + 12x + -10x = -14 + 10x + -10x Combine like terms: 12x + -10x = 2x -4 + 2x = -14 + 10x + -10x Combine like terms: 10x + -10x = 0 -4 + 2x = -14 + 0 -4 + 2x = -14 Add '4' to each side of the equation. -4 + 4 + 2x = -14 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = -14 + 4 2x = -14 + 4 Combine like terms: -14 + 4 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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