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Simplifying 5(5x + -5) = 3(8x + 9) + -14 Reorder the terms: 5(-5 + 5x) = 3(8x + 9) + -14 (-5 * 5 + 5x * 5) = 3(8x + 9) + -14 (-25 + 25x) = 3(8x + 9) + -14 Reorder the terms: -25 + 25x = 3(9 + 8x) + -14 -25 + 25x = (9 * 3 + 8x * 3) + -14 -25 + 25x = (27 + 24x) + -14 Reorder the terms: -25 + 25x = 27 + -14 + 24x Combine like terms: 27 + -14 = 13 -25 + 25x = 13 + 24x Solving -25 + 25x = 13 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -25 + 25x + -24x = 13 + 24x + -24x Combine like terms: 25x + -24x = 1x -25 + 1x = 13 + 24x + -24x Combine like terms: 24x + -24x = 0 -25 + 1x = 13 + 0 -25 + 1x = 13 Add '25' to each side of the equation. -25 + 25 + 1x = 13 + 25 Combine like terms: -25 + 25 = 0 0 + 1x = 13 + 25 1x = 13 + 25 Combine like terms: 13 + 25 = 38 1x = 38 Divide each side by '1'. x = 38 Simplifying x = 38
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