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Simplifying 2(x + 2) + 4(x + 5) = 18 Reorder the terms: 2(2 + x) + 4(x + 5) = 18 (2 * 2 + x * 2) + 4(x + 5) = 18 (4 + 2x) + 4(x + 5) = 18 Reorder the terms: 4 + 2x + 4(5 + x) = 18 4 + 2x + (5 * 4 + x * 4) = 18 4 + 2x + (20 + 4x) = 18 Reorder the terms: 4 + 20 + 2x + 4x = 18 Combine like terms: 4 + 20 = 24 24 + 2x + 4x = 18 Combine like terms: 2x + 4x = 6x 24 + 6x = 18 Solving 24 + 6x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 6x = 18 + -24 Combine like terms: 24 + -24 = 0 0 + 6x = 18 + -24 6x = 18 + -24 Combine like terms: 18 + -24 = -6 6x = -6 Divide each side by '6'. x = -1 Simplifying x = -1
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