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Simplifying 9(x + 5) = 54 + -2(x + 1) Reorder the terms: 9(5 + x) = 54 + -2(x + 1) (5 * 9 + x * 9) = 54 + -2(x + 1) (45 + 9x) = 54 + -2(x + 1) Reorder the terms: 45 + 9x = 54 + -2(1 + x) 45 + 9x = 54 + (1 * -2 + x * -2) 45 + 9x = 54 + (-2 + -2x) Combine like terms: 54 + -2 = 52 45 + 9x = 52 + -2x Solving 45 + 9x = 52 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 45 + 9x + 2x = 52 + -2x + 2x Combine like terms: 9x + 2x = 11x 45 + 11x = 52 + -2x + 2x Combine like terms: -2x + 2x = 0 45 + 11x = 52 + 0 45 + 11x = 52 Add '-45' to each side of the equation. 45 + -45 + 11x = 52 + -45 Combine like terms: 45 + -45 = 0 0 + 11x = 52 + -45 11x = 52 + -45 Combine like terms: 52 + -45 = 7 11x = 7 Divide each side by '11'. x = 0.6363636364 Simplifying x = 0.6363636364
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