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Simplifying 5(2x + -17) = 8(x + 5) Reorder the terms: 5(-17 + 2x) = 8(x + 5) (-17 * 5 + 2x * 5) = 8(x + 5) (-85 + 10x) = 8(x + 5) Reorder the terms: -85 + 10x = 8(5 + x) -85 + 10x = (5 * 8 + x * 8) -85 + 10x = (40 + 8x) Solving -85 + 10x = 40 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -85 + 10x + -8x = 40 + 8x + -8x Combine like terms: 10x + -8x = 2x -85 + 2x = 40 + 8x + -8x Combine like terms: 8x + -8x = 0 -85 + 2x = 40 + 0 -85 + 2x = 40 Add '85' to each side of the equation. -85 + 85 + 2x = 40 + 85 Combine like terms: -85 + 85 = 0 0 + 2x = 40 + 85 2x = 40 + 85 Combine like terms: 40 + 85 = 125 2x = 125 Divide each side by '2'. x = 62.5 Simplifying x = 62.5
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