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Simplifying 6(x + 2) + -2(2x + 5) = 15 Reorder the terms: 6(2 + x) + -2(2x + 5) = 15 (2 * 6 + x * 6) + -2(2x + 5) = 15 (12 + 6x) + -2(2x + 5) = 15 Reorder the terms: 12 + 6x + -2(5 + 2x) = 15 12 + 6x + (5 * -2 + 2x * -2) = 15 12 + 6x + (-10 + -4x) = 15 Reorder the terms: 12 + -10 + 6x + -4x = 15 Combine like terms: 12 + -10 = 2 2 + 6x + -4x = 15 Combine like terms: 6x + -4x = 2x 2 + 2x = 15 Solving 2 + 2x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 2x = 15 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 15 + -2 2x = 15 + -2 Combine like terms: 15 + -2 = 13 2x = 13 Divide each side by '2'. x = 6.5 Simplifying x = 6.5
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