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Simplifying 2 + -7(x + -1) = 5(-2x + -3) Reorder the terms: 2 + -7(-1 + x) = 5(-2x + -3) 2 + (-1 * -7 + x * -7) = 5(-2x + -3) 2 + (7 + -7x) = 5(-2x + -3) Combine like terms: 2 + 7 = 9 9 + -7x = 5(-2x + -3) Reorder the terms: 9 + -7x = 5(-3 + -2x) 9 + -7x = (-3 * 5 + -2x * 5) 9 + -7x = (-15 + -10x) Solving 9 + -7x = -15 + -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. 9 + -7x + 10x = -15 + -10x + 10x Combine like terms: -7x + 10x = 3x 9 + 3x = -15 + -10x + 10x Combine like terms: -10x + 10x = 0 9 + 3x = -15 + 0 9 + 3x = -15 Add '-9' to each side of the equation. 9 + -9 + 3x = -15 + -9 Combine like terms: 9 + -9 = 0 0 + 3x = -15 + -9 3x = -15 + -9 Combine like terms: -15 + -9 = -24 3x = -24 Divide each side by '3'. x = -8 Simplifying x = -8
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