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Simplifying 12(x + 1) = 3(x + 28) Reorder the terms: 12(1 + x) = 3(x + 28) (1 * 12 + x * 12) = 3(x + 28) (12 + 12x) = 3(x + 28) Reorder the terms: 12 + 12x = 3(28 + x) 12 + 12x = (28 * 3 + x * 3) 12 + 12x = (84 + 3x) Solving 12 + 12x = 84 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 12 + 12x + -3x = 84 + 3x + -3x Combine like terms: 12x + -3x = 9x 12 + 9x = 84 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + 9x = 84 + 0 12 + 9x = 84 Add '-12' to each side of the equation. 12 + -12 + 9x = 84 + -12 Combine like terms: 12 + -12 = 0 0 + 9x = 84 + -12 9x = 84 + -12 Combine like terms: 84 + -12 = 72 9x = 72 Divide each side by '9'. x = 8 Simplifying x = 8
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