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Simplifying 2(x + 1) + 2(x + -2) = 18 Reorder the terms: 2(1 + x) + 2(x + -2) = 18 (1 * 2 + x * 2) + 2(x + -2) = 18 (2 + 2x) + 2(x + -2) = 18 Reorder the terms: 2 + 2x + 2(-2 + x) = 18 2 + 2x + (-2 * 2 + x * 2) = 18 2 + 2x + (-4 + 2x) = 18 Reorder the terms: 2 + -4 + 2x + 2x = 18 Combine like terms: 2 + -4 = -2 -2 + 2x + 2x = 18 Combine like terms: 2x + 2x = 4x -2 + 4x = 18 Solving -2 + 4x = 18 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 + 4x = 18 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = 18 + 2 4x = 18 + 2 Combine like terms: 18 + 2 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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