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Simplifying 9(x + 1) + -1(2x + -1) = 6x Reorder the terms: 9(1 + x) + -1(2x + -1) = 6x (1 * 9 + x * 9) + -1(2x + -1) = 6x (9 + 9x) + -1(2x + -1) = 6x Reorder the terms: 9 + 9x + -1(-1 + 2x) = 6x 9 + 9x + (-1 * -1 + 2x * -1) = 6x 9 + 9x + (1 + -2x) = 6x Reorder the terms: 9 + 1 + 9x + -2x = 6x Combine like terms: 9 + 1 = 10 10 + 9x + -2x = 6x Combine like terms: 9x + -2x = 7x 10 + 7x = 6x Solving 10 + 7x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 10 + 7x + -6x = 6x + -6x Combine like terms: 7x + -6x = 1x 10 + 1x = 6x + -6x Combine like terms: 6x + -6x = 0 10 + 1x = 0 Add '-10' to each side of the equation. 10 + -10 + 1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 0 + -10 1x = 0 + -10 Combine like terms: 0 + -10 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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