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Simplifying -5(x + -1) = 2(x + 2) + -7 Reorder the terms: -5(-1 + x) = 2(x + 2) + -7 (-1 * -5 + x * -5) = 2(x + 2) + -7 (5 + -5x) = 2(x + 2) + -7 Reorder the terms: 5 + -5x = 2(2 + x) + -7 5 + -5x = (2 * 2 + x * 2) + -7 5 + -5x = (4 + 2x) + -7 Reorder the terms: 5 + -5x = 4 + -7 + 2x Combine like terms: 4 + -7 = -3 5 + -5x = -3 + 2x Solving 5 + -5x = -3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + -5x + -2x = -3 + 2x + -2x Combine like terms: -5x + -2x = -7x 5 + -7x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + -7x = -3 + 0 5 + -7x = -3 Add '-5' to each side of the equation. 5 + -5 + -7x = -3 + -5 Combine like terms: 5 + -5 = 0 0 + -7x = -3 + -5 -7x = -3 + -5 Combine like terms: -3 + -5 = -8 -7x = -8 Divide each side by '-7'. x = 1.142857143 Simplifying x = 1.142857143
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