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Simplifying 2x + -4 + -1(x + 5) = 9(x + -1) Reorder the terms: 2x + -4 + -1(5 + x) = 9(x + -1) 2x + -4 + (5 * -1 + x * -1) = 9(x + -1) 2x + -4 + (-5 + -1x) = 9(x + -1) Reorder the terms: -4 + -5 + 2x + -1x = 9(x + -1) Combine like terms: -4 + -5 = -9 -9 + 2x + -1x = 9(x + -1) Combine like terms: 2x + -1x = 1x -9 + 1x = 9(x + -1) Reorder the terms: -9 + 1x = 9(-1 + x) -9 + 1x = (-1 * 9 + x * 9) -9 + 1x = (-9 + 9x) Add '9' to each side of the equation. -9 + 9 + 1x = -9 + 9 + 9x Combine like terms: -9 + 9 = 0 0 + 1x = -9 + 9 + 9x 1x = -9 + 9 + 9x Combine like terms: -9 + 9 = 0 1x = 0 + 9x 1x = 9x Solving 1x = 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. 1x + -9x = 9x + -9x Combine like terms: 1x + -9x = -8x -8x = 9x + -9x Combine like terms: 9x + -9x = 0 -8x = 0 Divide each side by '-8'. x = 0 Simplifying x = 0
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