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Simplifying -5(x + -2) + -9x = 9(x + -4) Reorder the terms: -5(-2 + x) + -9x = 9(x + -4) (-2 * -5 + x * -5) + -9x = 9(x + -4) (10 + -5x) + -9x = 9(x + -4) Combine like terms: -5x + -9x = -14x 10 + -14x = 9(x + -4) Reorder the terms: 10 + -14x = 9(-4 + x) 10 + -14x = (-4 * 9 + x * 9) 10 + -14x = (-36 + 9x) Solving 10 + -14x = -36 + 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. 10 + -14x + -9x = -36 + 9x + -9x Combine like terms: -14x + -9x = -23x 10 + -23x = -36 + 9x + -9x Combine like terms: 9x + -9x = 0 10 + -23x = -36 + 0 10 + -23x = -36 Add '-10' to each side of the equation. 10 + -10 + -23x = -36 + -10 Combine like terms: 10 + -10 = 0 0 + -23x = -36 + -10 -23x = -36 + -10 Combine like terms: -36 + -10 = -46 -23x = -46 Divide each side by '-23'. x = 2 Simplifying x = 2
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