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Simplifying 9(x + 1) = 4 + -2(9x + 5) Reorder the terms: 9(1 + x) = 4 + -2(9x + 5) (1 * 9 + x * 9) = 4 + -2(9x + 5) (9 + 9x) = 4 + -2(9x + 5) Reorder the terms: 9 + 9x = 4 + -2(5 + 9x) 9 + 9x = 4 + (5 * -2 + 9x * -2) 9 + 9x = 4 + (-10 + -18x) Combine like terms: 4 + -10 = -6 9 + 9x = -6 + -18x Solving 9 + 9x = -6 + -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 = -6 + -18x + 18x Combine like terms: 9x + 18x = 27x 9 + 27x = -6 + -18x + 18x Combine like terms: -18x + 18x = 0 9 + 27x = -6 + 0 9 + 27x = -6 Add '-9' to each side of the equation. 9 + -9 + 27x = -6 + -9 Combine like terms: 9 + -9 = 0 0 + 27x = -6 + -9 27x = -6 + -9 Combine like terms: -6 + -9 = -15 27x = -15 Divide each side by '27'. x = -0.5555555556 Simplifying x = -0.5555555556
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