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Simplifying 2(5x + 6) + -2(2x + 3) = 18 Reorder the terms: 2(6 + 5x) + -2(2x + 3) = 18 (6 * 2 + 5x * 2) + -2(2x + 3) = 18 (12 + 10x) + -2(2x + 3) = 18 Reorder the terms: 12 + 10x + -2(3 + 2x) = 18 12 + 10x + (3 * -2 + 2x * -2) = 18 12 + 10x + (-6 + -4x) = 18 Reorder the terms: 12 + -6 + 10x + -4x = 18 Combine like terms: 12 + -6 = 6 6 + 10x + -4x = 18 Combine like terms: 10x + -4x = 6x 6 + 6x = 18 Solving 6 + 6x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 6x = 18 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = 18 + -6 6x = 18 + -6 Combine like terms: 18 + -6 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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