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Simplifying -1(x + 2) + 2x = 5(2x + -5) + -1x Reorder the terms: -1(2 + x) + 2x = 5(2x + -5) + -1x (2 * -1 + x * -1) + 2x = 5(2x + -5) + -1x (-2 + -1x) + 2x = 5(2x + -5) + -1x Combine like terms: -1x + 2x = 1x -2 + 1x = 5(2x + -5) + -1x Reorder the terms: -2 + 1x = 5(-5 + 2x) + -1x -2 + 1x = (-5 * 5 + 2x * 5) + -1x -2 + 1x = (-25 + 10x) + -1x Combine like terms: 10x + -1x = 9x -2 + 1x = -25 + 9x Solving -2 + 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. -2 + 1x + -9x = -25 + 9x + -9x Combine like terms: 1x + -9x = -8x -2 + -8x = -25 + 9x + -9x Combine like terms: 9x + -9x = 0 -2 + -8x = -25 + 0 -2 + -8x = -25 Add '2' to each side of the equation. -2 + 2 + -8x = -25 + 2 Combine like terms: -2 + 2 = 0 0 + -8x = -25 + 2 -8x = -25 + 2 Combine like terms: -25 + 2 = -23 -8x = -23 Divide each side by '-8'. x = 2.875 Simplifying x = 2.875
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