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Simplifying 30(x + 1) = 12(x + 7) Reorder the terms: 30(1 + x) = 12(x + 7) (1 * 30 + x * 30) = 12(x + 7) (30 + 30x) = 12(x + 7) Reorder the terms: 30 + 30x = 12(7 + x) 30 + 30x = (7 * 12 + x * 12) 30 + 30x = (84 + 12x) Solving 30 + 30x = 84 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 30 + 30x + -12x = 84 + 12x + -12x Combine like terms: 30x + -12x = 18x 30 + 18x = 84 + 12x + -12x Combine like terms: 12x + -12x = 0 30 + 18x = 84 + 0 30 + 18x = 84 Add '-30' to each side of the equation. 30 + -30 + 18x = 84 + -30 Combine like terms: 30 + -30 = 0 0 + 18x = 84 + -30 18x = 84 + -30 Combine like terms: 84 + -30 = 54 18x = 54 Divide each side by '18'. x = 3 Simplifying x = 3
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