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Simplifying 2(x + 4) = 18 * 3 + -9(x + 2) Reorder the terms: 2(4 + x) = 18 * 3 + -9(x + 2) (4 * 2 + x * 2) = 18 * 3 + -9(x + 2) (8 + 2x) = 18 * 3 + -9(x + 2) Multiply 18 * 3 8 + 2x = 54 + -9(x + 2) Reorder the terms: 8 + 2x = 54 + -9(2 + x) 8 + 2x = 54 + (2 * -9 + x * -9) 8 + 2x = 54 + (-18 + -9x) Combine like terms: 54 + -18 = 36 8 + 2x = 36 + -9x Solving 8 + 2x = 36 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 8 + 2x + 9x = 36 + -9x + 9x Combine like terms: 2x + 9x = 11x 8 + 11x = 36 + -9x + 9x Combine like terms: -9x + 9x = 0 8 + 11x = 36 + 0 8 + 11x = 36 Add '-8' to each side of the equation. 8 + -8 + 11x = 36 + -8 Combine like terms: 8 + -8 = 0 0 + 11x = 36 + -8 11x = 36 + -8 Combine like terms: 36 + -8 = 28 11x = 28 Divide each side by '11'. x = 2.545454545 Simplifying x = 2.545454545
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