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Simplifying 8x + -17 = 2(5x + -1) Reorder the terms: -17 + 8x = 2(5x + -1) Reorder the terms: -17 + 8x = 2(-1 + 5x) -17 + 8x = (-1 * 2 + 5x * 2) -17 + 8x = (-2 + 10x) Solving -17 + 8x = -2 + 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. -17 + 8x + -10x = -2 + 10x + -10x Combine like terms: 8x + -10x = -2x -17 + -2x = -2 + 10x + -10x Combine like terms: 10x + -10x = 0 -17 + -2x = -2 + 0 -17 + -2x = -2 Add '17' to each side of the equation. -17 + 17 + -2x = -2 + 17 Combine like terms: -17 + 17 = 0 0 + -2x = -2 + 17 -2x = -2 + 17 Combine like terms: -2 + 17 = 15 -2x = 15 Divide each side by '-2'. x = -7.5 Simplifying x = -7.5
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