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Simplifying 1 + -1(x + 2) + 2x = 5(2x + -5) + -1x Reorder the terms: 1 + -1(2 + x) + 2x = 5(2x + -5) + -1x 1 + (2 * -1 + x * -1) + 2x = 5(2x + -5) + -1x 1 + (-2 + -1x) + 2x = 5(2x + -5) + -1x Combine like terms: 1 + -2 = -1 -1 + -1x + 2x = 5(2x + -5) + -1x Combine like terms: -1x + 2x = 1x -1 + 1x = 5(2x + -5) + -1x Reorder the terms: -1 + 1x = 5(-5 + 2x) + -1x -1 + 1x = (-5 * 5 + 2x * 5) + -1x -1 + 1x = (-25 + 10x) + -1x Combine like terms: 10x + -1x = 9x -1 + 1x = -25 + 9x Solving -1 + 1x = -25 + 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. -1 + 1x + -9x = -25 + 9x + -9x Combine like terms: 1x + -9x = -8x -1 + -8x = -25 + 9x + -9x Combine like terms: 9x + -9x = 0 -1 + -8x = -25 + 0 -1 + -8x = -25 Add '1' to each side of the equation. -1 + 1 + -8x = -25 + 1 Combine like terms: -1 + 1 = 0 0 + -8x = -25 + 1 -8x = -25 + 1 Combine like terms: -25 + 1 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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