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Simplifying 3(x + 5) + -2(5x + 8) = 3x + -1(x + -17) Reorder the terms: 3(5 + x) + -2(5x + 8) = 3x + -1(x + -17) (5 * 3 + x * 3) + -2(5x + 8) = 3x + -1(x + -17) (15 + 3x) + -2(5x + 8) = 3x + -1(x + -17) Reorder the terms: 15 + 3x + -2(8 + 5x) = 3x + -1(x + -17) 15 + 3x + (8 * -2 + 5x * -2) = 3x + -1(x + -17) 15 + 3x + (-16 + -10x) = 3x + -1(x + -17) Reorder the terms: 15 + -16 + 3x + -10x = 3x + -1(x + -17) Combine like terms: 15 + -16 = -1 -1 + 3x + -10x = 3x + -1(x + -17) Combine like terms: 3x + -10x = -7x -1 + -7x = 3x + -1(x + -17) Reorder the terms: -1 + -7x = 3x + -1(-17 + x) -1 + -7x = 3x + (-17 * -1 + x * -1) -1 + -7x = 3x + (17 + -1x) Reorder the terms: -1 + -7x = 17 + 3x + -1x Combine like terms: 3x + -1x = 2x -1 + -7x = 17 + 2x Solving -1 + -7x = 17 + 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. -1 + -7x + -2x = 17 + 2x + -2x Combine like terms: -7x + -2x = -9x -1 + -9x = 17 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + -9x = 17 + 0 -1 + -9x = 17 Add '1' to each side of the equation. -1 + 1 + -9x = 17 + 1 Combine like terms: -1 + 1 = 0 0 + -9x = 17 + 1 -9x = 17 + 1 Combine like terms: 17 + 1 = 18 -9x = 18 Divide each side by '-9'. x = -2 Simplifying x = -2
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