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Simplifying 5x + -9(x + -1) = 2x + -5 Reorder the terms: 5x + -9(-1 + x) = 2x + -5 5x + (-1 * -9 + x * -9) = 2x + -5 5x + (9 + -9x) = 2x + -5 Reorder the terms: 9 + 5x + -9x = 2x + -5 Combine like terms: 5x + -9x = -4x 9 + -4x = 2x + -5 Reorder the terms: 9 + -4x = -5 + 2x Solving 9 + -4x = -5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 9 + -4x + -2x = -5 + 2x + -2x Combine like terms: -4x + -2x = -6x 9 + -6x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + -6x = -5 + 0 9 + -6x = -5 Add '-9' to each side of the equation. 9 + -9 + -6x = -5 + -9 Combine like terms: 9 + -9 = 0 0 + -6x = -5 + -9 -6x = -5 + -9 Combine like terms: -5 + -9 = -14 -6x = -14 Divide each side by '-6'. x = 2.333333333 Simplifying x = 2.333333333
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