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Simplifying ((x + 12) * 4) + (x * 2) = 126 Reorder the terms: ((12 + x) * 4) + (x * 2) = 126 Reorder the terms for easier multiplication: (4(12 + x)) + (x * 2) = 126 ((12 * 4 + x * 4)) + (x * 2) = 126 ((48 + 4x)) + (x * 2) = 126 (48 + 4x) + (x * 2) = 126 Remove parenthesis around (48 + 4x) 48 + 4x + (x * 2) = 126 Reorder the terms for easier multiplication: 48 + 4x + (2x) = 126 Combine like terms: 4x + (2x) = 6x 48 + 6x = 126 Solving 48 + 6x = 126 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 6x = 126 + -48 Combine like terms: 48 + -48 = 0 0 + 6x = 126 + -48 6x = 126 + -48 Combine like terms: 126 + -48 = 78 6x = 78 Divide each side by '6'. x = 13 Simplifying x = 13
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