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Simplifying 2(x + 5) + 2(x + -2) = 24 Reorder the terms: 2(5 + x) + 2(x + -2) = 24 (5 * 2 + x * 2) + 2(x + -2) = 24 (10 + 2x) + 2(x + -2) = 24 Reorder the terms: 10 + 2x + 2(-2 + x) = 24 10 + 2x + (-2 * 2 + x * 2) = 24 10 + 2x + (-4 + 2x) = 24 Reorder the terms: 10 + -4 + 2x + 2x = 24 Combine like terms: 10 + -4 = 6 6 + 2x + 2x = 24 Combine like terms: 2x + 2x = 4x 6 + 4x = 24 Solving 6 + 4x = 24 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 + 4x = 24 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 24 + -6 4x = 24 + -6 Combine like terms: 24 + -6 = 18 4x = 18 Divide each side by '4'. x = 4.5 Simplifying x = 4.5
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