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Simplifying (6 + 2x) * 2 = x + 24 Reorder the terms for easier multiplication: 2(6 + 2x) = x + 24 (6 * 2 + 2x * 2) = x + 24 (12 + 4x) = x + 24 Reorder the terms: 12 + 4x = 24 + x Solving 12 + 4x = 24 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 12 + 4x + -1x = 24 + x + -1x Combine like terms: 4x + -1x = 3x 12 + 3x = 24 + x + -1x Combine like terms: x + -1x = 0 12 + 3x = 24 + 0 12 + 3x = 24 Add '-12' to each side of the equation. 12 + -12 + 3x = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 24 + -12 3x = 24 + -12 Combine like terms: 24 + -12 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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