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Simplifying 3(2x + 2) + -4(x + 5) = 18 Reorder the terms: 3(2 + 2x) + -4(x + 5) = 18 (2 * 3 + 2x * 3) + -4(x + 5) = 18 (6 + 6x) + -4(x + 5) = 18 Reorder the terms: 6 + 6x + -4(5 + x) = 18 6 + 6x + (5 * -4 + x * -4) = 18 6 + 6x + (-20 + -4x) = 18 Reorder the terms: 6 + -20 + 6x + -4x = 18 Combine like terms: 6 + -20 = -14 -14 + 6x + -4x = 18 Combine like terms: 6x + -4x = 2x -14 + 2x = 18 Solving -14 + 2x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 2x = 18 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = 18 + 14 2x = 18 + 14 Combine like terms: 18 + 14 = 32 2x = 32 Divide each side by '2'. x = 16 Simplifying x = 16
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