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Simplifying (x + 2) * 6 = 2(10 + x) Reorder the terms: (2 + x) * 6 = 2(10 + x) Reorder the terms for easier multiplication: 6(2 + x) = 2(10 + x) (2 * 6 + x * 6) = 2(10 + x) (12 + 6x) = 2(10 + x) 12 + 6x = (10 * 2 + x * 2) 12 + 6x = (20 + 2x) Solving 12 + 6x = 20 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12 + 6x + -2x = 20 + 2x + -2x Combine like terms: 6x + -2x = 4x 12 + 4x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 4x = 20 + 0 12 + 4x = 20 Add '-12' to each side of the equation. 12 + -12 + 4x = 20 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 20 + -12 4x = 20 + -12 Combine like terms: 20 + -12 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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