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Simplifying 9(x + 1) = 54 + -2(x + 3) Reorder the terms: 9(1 + x) = 54 + -2(x + 3) (1 * 9 + x * 9) = 54 + -2(x + 3) (9 + 9x) = 54 + -2(x + 3) Reorder the terms: 9 + 9x = 54 + -2(3 + x) 9 + 9x = 54 + (3 * -2 + x * -2) 9 + 9x = 54 + (-6 + -2x) Combine like terms: 54 + -6 = 48 9 + 9x = 48 + -2x Solving 9 + 9x = 48 + -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. 9 + 9x + 2x = 48 + -2x + 2x Combine like terms: 9x + 2x = 11x 9 + 11x = 48 + -2x + 2x Combine like terms: -2x + 2x = 0 9 + 11x = 48 + 0 9 + 11x = 48 Add '-9' to each side of the equation. 9 + -9 + 11x = 48 + -9 Combine like terms: 9 + -9 = 0 0 + 11x = 48 + -9 11x = 48 + -9 Combine like terms: 48 + -9 = 39 11x = 39 Divide each side by '11'. x = 3.545454545 Simplifying x = 3.545454545
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