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Simplifying 2(2x + -6) + 2(x + 3) = 24 Reorder the terms: 2(-6 + 2x) + 2(x + 3) = 24 (-6 * 2 + 2x * 2) + 2(x + 3) = 24 (-12 + 4x) + 2(x + 3) = 24 Reorder the terms: -12 + 4x + 2(3 + x) = 24 -12 + 4x + (3 * 2 + x * 2) = 24 -12 + 4x + (6 + 2x) = 24 Reorder the terms: -12 + 6 + 4x + 2x = 24 Combine like terms: -12 + 6 = -6 -6 + 4x + 2x = 24 Combine like terms: 4x + 2x = 6x -6 + 6x = 24 Solving -6 + 6x = 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 + 6x = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 24 + 6 6x = 24 + 6 Combine like terms: 24 + 6 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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