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Simplifying 5(x + -5) + -2(2x + 7) = 0 Reorder the terms: 5(-5 + x) + -2(2x + 7) = 0 (-5 * 5 + x * 5) + -2(2x + 7) = 0 (-25 + 5x) + -2(2x + 7) = 0 Reorder the terms: -25 + 5x + -2(7 + 2x) = 0 -25 + 5x + (7 * -2 + 2x * -2) = 0 -25 + 5x + (-14 + -4x) = 0 Reorder the terms: -25 + -14 + 5x + -4x = 0 Combine like terms: -25 + -14 = -39 -39 + 5x + -4x = 0 Combine like terms: 5x + -4x = 1x -39 + 1x = 0 Solving -39 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + 1x = 0 + 39 Combine like terms: -39 + 39 = 0 0 + 1x = 0 + 39 1x = 0 + 39 Combine like terms: 0 + 39 = 39 1x = 39 Divide each side by '1'. x = 39 Simplifying x = 39
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