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Simplifying -3(5x + 2) + 7 = -1(10x + 6) + 17 Reorder the terms: -3(2 + 5x) + 7 = -1(10x + 6) + 17 (2 * -3 + 5x * -3) + 7 = -1(10x + 6) + 17 (-6 + -15x) + 7 = -1(10x + 6) + 17 Reorder the terms: -6 + 7 + -15x = -1(10x + 6) + 17 Combine like terms: -6 + 7 = 1 1 + -15x = -1(10x + 6) + 17 Reorder the terms: 1 + -15x = -1(6 + 10x) + 17 1 + -15x = (6 * -1 + 10x * -1) + 17 1 + -15x = (-6 + -10x) + 17 Reorder the terms: 1 + -15x = -6 + 17 + -10x Combine like terms: -6 + 17 = 11 1 + -15x = 11 + -10x Solving 1 + -15x = 11 + -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. 1 + -15x + 10x = 11 + -10x + 10x Combine like terms: -15x + 10x = -5x 1 + -5x = 11 + -10x + 10x Combine like terms: -10x + 10x = 0 1 + -5x = 11 + 0 1 + -5x = 11 Add '-1' to each side of the equation. 1 + -1 + -5x = 11 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 11 + -1 -5x = 11 + -1 Combine like terms: 11 + -1 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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