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Simplifying 5(x + 2) = 8(x + -17) Reorder the terms: 5(2 + x) = 8(x + -17) (2 * 5 + x * 5) = 8(x + -17) (10 + 5x) = 8(x + -17) Reorder the terms: 10 + 5x = 8(-17 + x) 10 + 5x = (-17 * 8 + x * 8) 10 + 5x = (-136 + 8x) Solving 10 + 5x = -136 + 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. 10 + 5x + -8x = -136 + 8x + -8x Combine like terms: 5x + -8x = -3x 10 + -3x = -136 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -3x = -136 + 0 10 + -3x = -136 Add '-10' to each side of the equation. 10 + -10 + -3x = -136 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = -136 + -10 -3x = -136 + -10 Combine like terms: -136 + -10 = -146 -3x = -146 Divide each side by '-3'. x = 48.66666667 Simplifying x = 48.66666667
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