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Simplifying 2(x + 6) + 5(x + -3) = 18 Reorder the terms: 2(6 + x) + 5(x + -3) = 18 (6 * 2 + x * 2) + 5(x + -3) = 18 (12 + 2x) + 5(x + -3) = 18 Reorder the terms: 12 + 2x + 5(-3 + x) = 18 12 + 2x + (-3 * 5 + x * 5) = 18 12 + 2x + (-15 + 5x) = 18 Reorder the terms: 12 + -15 + 2x + 5x = 18 Combine like terms: 12 + -15 = -3 -3 + 2x + 5x = 18 Combine like terms: 2x + 5x = 7x -3 + 7x = 18 Solving -3 + 7x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 7x = 18 + 3 Combine like terms: -3 + 3 = 0 0 + 7x = 18 + 3 7x = 18 + 3 Combine like terms: 18 + 3 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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