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Simplifying 12(x + 4) + 2(3 + -1x + 17x) = 142 Reorder the terms: 12(4 + x) + 2(3 + -1x + 17x) = 142 (4 * 12 + x * 12) + 2(3 + -1x + 17x) = 142 (48 + 12x) + 2(3 + -1x + 17x) = 142 Combine like terms: -1x + 17x = 16x 48 + 12x + 2(3 + 16x) = 142 48 + 12x + (3 * 2 + 16x * 2) = 142 48 + 12x + (6 + 32x) = 142 Reorder the terms: 48 + 6 + 12x + 32x = 142 Combine like terms: 48 + 6 = 54 54 + 12x + 32x = 142 Combine like terms: 12x + 32x = 44x 54 + 44x = 142 Solving 54 + 44x = 142 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + 44x = 142 + -54 Combine like terms: 54 + -54 = 0 0 + 44x = 142 + -54 44x = 142 + -54 Combine like terms: 142 + -54 = 88 44x = 88 Divide each side by '44'. x = 2 Simplifying x = 2
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