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Simplifying 5(x + 2) = 2(3 + -1x) + 18 Reorder the terms: 5(2 + x) = 2(3 + -1x) + 18 (2 * 5 + x * 5) = 2(3 + -1x) + 18 (10 + 5x) = 2(3 + -1x) + 18 10 + 5x = (3 * 2 + -1x * 2) + 18 10 + 5x = (6 + -2x) + 18 Reorder the terms: 10 + 5x = 6 + 18 + -2x Combine like terms: 6 + 18 = 24 10 + 5x = 24 + -2x Solving 10 + 5x = 24 + -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. 10 + 5x + 2x = 24 + -2x + 2x Combine like terms: 5x + 2x = 7x 10 + 7x = 24 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + 7x = 24 + 0 10 + 7x = 24 Add '-10' to each side of the equation. 10 + -10 + 7x = 24 + -10 Combine like terms: 10 + -10 = 0 0 + 7x = 24 + -10 7x = 24 + -10 Combine like terms: 24 + -10 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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