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Simplifying 2(x + 6) + 2y = 114 Reorder the terms: 2(6 + x) + 2y = 114 (6 * 2 + x * 2) + 2y = 114 (12 + 2x) + 2y = 114 Solving 12 + 2x + 2y = 114 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 2x + -12 + 2y = 114 + -12 Reorder the terms: 12 + -12 + 2x + 2y = 114 + -12 Combine like terms: 12 + -12 = 0 0 + 2x + 2y = 114 + -12 2x + 2y = 114 + -12 Combine like terms: 114 + -12 = 102 2x + 2y = 102 Add '-2y' to each side of the equation. 2x + 2y + -2y = 102 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 102 + -2y 2x = 102 + -2y Divide each side by '2'. x = 51 + -1y Simplifying x = 51 + -1y
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