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Simplifying 9x + -1(6x + -9) = 5 + 2x Reorder the terms: 9x + -1(-9 + 6x) = 5 + 2x 9x + (-9 * -1 + 6x * -1) = 5 + 2x 9x + (9 + -6x) = 5 + 2x Reorder the terms: 9 + 9x + -6x = 5 + 2x Combine like terms: 9x + -6x = 3x 9 + 3x = 5 + 2x Solving 9 + 3x = 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 + 3x + -2x = 5 + 2x + -2x Combine like terms: 3x + -2x = 1x 9 + 1x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + 1x = 5 + 0 9 + 1x = 5 Add '-9' to each side of the equation. 9 + -9 + 1x = 5 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 5 + -9 1x = 5 + -9 Combine like terms: 5 + -9 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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