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Simplifying 4(-3x + 1) = -2(7x + -5) Reorder the terms: 4(1 + -3x) = -2(7x + -5) (1 * 4 + -3x * 4) = -2(7x + -5) (4 + -12x) = -2(7x + -5) Reorder the terms: 4 + -12x = -2(-5 + 7x) 4 + -12x = (-5 * -2 + 7x * -2) 4 + -12x = (10 + -14x) Solving 4 + -12x = 10 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 4 + -12x + 14x = 10 + -14x + 14x Combine like terms: -12x + 14x = 2x 4 + 2x = 10 + -14x + 14x Combine like terms: -14x + 14x = 0 4 + 2x = 10 + 0 4 + 2x = 10 Add '-4' to each side of the equation. 4 + -4 + 2x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 10 + -4 2x = 10 + -4 Combine like terms: 10 + -4 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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