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Simplifying 9x + -6(x + -1) = 5(x + 2) Reorder the terms: 9x + -6(-1 + x) = 5(x + 2) 9x + (-1 * -6 + x * -6) = 5(x + 2) 9x + (6 + -6x) = 5(x + 2) Reorder the terms: 6 + 9x + -6x = 5(x + 2) Combine like terms: 9x + -6x = 3x 6 + 3x = 5(x + 2) Reorder the terms: 6 + 3x = 5(2 + x) 6 + 3x = (2 * 5 + x * 5) 6 + 3x = (10 + 5x) Solving 6 + 3x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + 3x + -5x = 10 + 5x + -5x Combine like terms: 3x + -5x = -2x 6 + -2x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -2x = 10 + 0 6 + -2x = 10 Add '-6' to each side of the equation. 6 + -6 + -2x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = 10 + -6 -2x = 10 + -6 Combine like terms: 10 + -6 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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