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Simplifying 5(2x + -1) + -2(x + -8) = 9x + -14 Reorder the terms: 5(-1 + 2x) + -2(x + -8) = 9x + -14 (-1 * 5 + 2x * 5) + -2(x + -8) = 9x + -14 (-5 + 10x) + -2(x + -8) = 9x + -14 Reorder the terms: -5 + 10x + -2(-8 + x) = 9x + -14 -5 + 10x + (-8 * -2 + x * -2) = 9x + -14 -5 + 10x + (16 + -2x) = 9x + -14 Reorder the terms: -5 + 16 + 10x + -2x = 9x + -14 Combine like terms: -5 + 16 = 11 11 + 10x + -2x = 9x + -14 Combine like terms: 10x + -2x = 8x 11 + 8x = 9x + -14 Reorder the terms: 11 + 8x = -14 + 9x Solving 11 + 8x = -14 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 11 + 8x + -9x = -14 + 9x + -9x Combine like terms: 8x + -9x = -1x 11 + -1x = -14 + 9x + -9x Combine like terms: 9x + -9x = 0 11 + -1x = -14 + 0 11 + -1x = -14 Add '-11' to each side of the equation. 11 + -11 + -1x = -14 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = -14 + -11 -1x = -14 + -11 Combine like terms: -14 + -11 = -25 -1x = -25 Divide each side by '-1'. x = 25 Simplifying x = 25
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