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Simplifying 5(-2x + 1) = -7(x + -2) Reorder the terms: 5(1 + -2x) = -7(x + -2) (1 * 5 + -2x * 5) = -7(x + -2) (5 + -10x) = -7(x + -2) Reorder the terms: 5 + -10x = -7(-2 + x) 5 + -10x = (-2 * -7 + x * -7) 5 + -10x = (14 + -7x) Solving 5 + -10x = 14 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 5 + -10x + 7x = 14 + -7x + 7x Combine like terms: -10x + 7x = -3x 5 + -3x = 14 + -7x + 7x Combine like terms: -7x + 7x = 0 5 + -3x = 14 + 0 5 + -3x = 14 Add '-5' to each side of the equation. 5 + -5 + -3x = 14 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 14 + -5 -3x = 14 + -5 Combine like terms: 14 + -5 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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