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Simplifying 9(x + 1) = 5 + -2(9x + 6) Reorder the terms: 9(1 + x) = 5 + -2(9x + 6) (1 * 9 + x * 9) = 5 + -2(9x + 6) (9 + 9x) = 5 + -2(9x + 6) Reorder the terms: 9 + 9x = 5 + -2(6 + 9x) 9 + 9x = 5 + (6 * -2 + 9x * -2) 9 + 9x = 5 + (-12 + -18x) Combine like terms: 5 + -12 = -7 9 + 9x = -7 + -18x Solving 9 + 9x = -7 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 9 + 9x + 18x = -7 + -18x + 18x Combine like terms: 9x + 18x = 27x 9 + 27x = -7 + -18x + 18x Combine like terms: -18x + 18x = 0 9 + 27x = -7 + 0 9 + 27x = -7 Add '-9' to each side of the equation. 9 + -9 + 27x = -7 + -9 Combine like terms: 9 + -9 = 0 0 + 27x = -7 + -9 27x = -7 + -9 Combine like terms: -7 + -9 = -16 27x = -16 Divide each side by '27'. x = -0.5925925926 Simplifying x = -0.5925925926
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