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Simplifying 3 + 3(5x + 2) = -1(8 + -5x) + 7 Reorder the terms: 3 + 3(2 + 5x) = -1(8 + -5x) + 7 3 + (2 * 3 + 5x * 3) = -1(8 + -5x) + 7 3 + (6 + 15x) = -1(8 + -5x) + 7 Combine like terms: 3 + 6 = 9 9 + 15x = -1(8 + -5x) + 7 9 + 15x = (8 * -1 + -5x * -1) + 7 9 + 15x = (-8 + 5x) + 7 Reorder the terms: 9 + 15x = -8 + 7 + 5x Combine like terms: -8 + 7 = -1 9 + 15x = -1 + 5x Solving 9 + 15x = -1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 9 + 15x + -5x = -1 + 5x + -5x Combine like terms: 15x + -5x = 10x 9 + 10x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + 10x = -1 + 0 9 + 10x = -1 Add '-9' to each side of the equation. 9 + -9 + 10x = -1 + -9 Combine like terms: 9 + -9 = 0 0 + 10x = -1 + -9 10x = -1 + -9 Combine like terms: -1 + -9 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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