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Simplifying 9(x + 1) + 6(x + 1) = 6x + -6 Reorder the terms: 9(1 + x) + 6(x + 1) = 6x + -6 (1 * 9 + x * 9) + 6(x + 1) = 6x + -6 (9 + 9x) + 6(x + 1) = 6x + -6 Reorder the terms: 9 + 9x + 6(1 + x) = 6x + -6 9 + 9x + (1 * 6 + x * 6) = 6x + -6 9 + 9x + (6 + 6x) = 6x + -6 Reorder the terms: 9 + 6 + 9x + 6x = 6x + -6 Combine like terms: 9 + 6 = 15 15 + 9x + 6x = 6x + -6 Combine like terms: 9x + 6x = 15x 15 + 15x = 6x + -6 Reorder the terms: 15 + 15x = -6 + 6x Solving 15 + 15x = -6 + 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. 15 + 15x + -6x = -6 + 6x + -6x Combine like terms: 15x + -6x = 9x 15 + 9x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + 9x = -6 + 0 15 + 9x = -6 Add '-15' to each side of the equation. 15 + -15 + 9x = -6 + -15 Combine like terms: 15 + -15 = 0 0 + 9x = -6 + -15 9x = -6 + -15 Combine like terms: -6 + -15 = -21 9x = -21 Divide each side by '9'. x = -2.333333333 Simplifying x = -2.333333333
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