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Simplifying x + -2(x + -2) + -1(2x + -5) = 25 + x Reorder the terms: x + -2(-2 + x) + -1(2x + -5) = 25 + x x + (-2 * -2 + x * -2) + -1(2x + -5) = 25 + x x + (4 + -2x) + -1(2x + -5) = 25 + x Reorder the terms: x + 4 + -2x + -1(-5 + 2x) = 25 + x x + 4 + -2x + (-5 * -1 + 2x * -1) = 25 + x x + 4 + -2x + (5 + -2x) = 25 + x Reorder the terms: 4 + 5 + x + -2x + -2x = 25 + x Combine like terms: 4 + 5 = 9 9 + x + -2x + -2x = 25 + x Combine like terms: x + -2x = -1x 9 + -1x + -2x = 25 + x Combine like terms: -1x + -2x = -3x 9 + -3x = 25 + x Solving 9 + -3x = 25 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 9 + -3x + -1x = 25 + x + -1x Combine like terms: -3x + -1x = -4x 9 + -4x = 25 + x + -1x Combine like terms: x + -1x = 0 9 + -4x = 25 + 0 9 + -4x = 25 Add '-9' to each side of the equation. 9 + -9 + -4x = 25 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = 25 + -9 -4x = 25 + -9 Combine like terms: 25 + -9 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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