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Simplifying 2(x + 3) + 2(x + -4) = 24 Reorder the terms: 2(3 + x) + 2(x + -4) = 24 (3 * 2 + x * 2) + 2(x + -4) = 24 (6 + 2x) + 2(x + -4) = 24 Reorder the terms: 6 + 2x + 2(-4 + x) = 24 6 + 2x + (-4 * 2 + x * 2) = 24 6 + 2x + (-8 + 2x) = 24 Reorder the terms: 6 + -8 + 2x + 2x = 24 Combine like terms: 6 + -8 = -2 -2 + 2x + 2x = 24 Combine like terms: 2x + 2x = 4x -2 + 4x = 24 Solving -2 + 4x = 24 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 = 24 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = 24 + 2 4x = 24 + 2 Combine like terms: 24 + 2 = 26 4x = 26 Divide each side by '4'. x = 6.5 Simplifying x = 6.5
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