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Simplifying 12(x + 7) = 3x + 120 Reorder the terms: 12(7 + x) = 3x + 120 (7 * 12 + x * 12) = 3x + 120 (84 + 12x) = 3x + 120 Reorder the terms: 84 + 12x = 120 + 3x Solving 84 + 12x = 120 + 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. 84 + 12x + -3x = 120 + 3x + -3x Combine like terms: 12x + -3x = 9x 84 + 9x = 120 + 3x + -3x Combine like terms: 3x + -3x = 0 84 + 9x = 120 + 0 84 + 9x = 120 Add '-84' to each side of the equation. 84 + -84 + 9x = 120 + -84 Combine like terms: 84 + -84 = 0 0 + 9x = 120 + -84 9x = 120 + -84 Combine like terms: 120 + -84 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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