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Simplifying x + -1(2x + 5) = 9 + -1(4 + -1x) Reorder the terms: x + -1(5 + 2x) = 9 + -1(4 + -1x) x + (5 * -1 + 2x * -1) = 9 + -1(4 + -1x) x + (-5 + -2x) = 9 + -1(4 + -1x) Reorder the terms: -5 + x + -2x = 9 + -1(4 + -1x) Combine like terms: x + -2x = -1x -5 + -1x = 9 + -1(4 + -1x) -5 + -1x = 9 + (4 * -1 + -1x * -1) -5 + -1x = 9 + (-4 + 1x) Combine like terms: 9 + -4 = 5 -5 + -1x = 5 + 1x Solving -5 + -1x = 5 + 1x 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. -5 + -1x + -1x = 5 + 1x + -1x Combine like terms: -1x + -1x = -2x -5 + -2x = 5 + 1x + -1x Combine like terms: 1x + -1x = 0 -5 + -2x = 5 + 0 -5 + -2x = 5 Add '5' to each side of the equation. -5 + 5 + -2x = 5 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 5 + 5 -2x = 5 + 5 Combine like terms: 5 + 5 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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