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Simplifying 3(2x + 10) = 12x + 12 Reorder the terms: 3(10 + 2x) = 12x + 12 (10 * 3 + 2x * 3) = 12x + 12 (30 + 6x) = 12x + 12 Reorder the terms: 30 + 6x = 12 + 12x Solving 30 + 6x = 12 + 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 + 6x + -12x = 12 + 12x + -12x Combine like terms: 6x + -12x = -6x 30 + -6x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 30 + -6x = 12 + 0 30 + -6x = 12 Add '-30' to each side of the equation. 30 + -30 + -6x = 12 + -30 Combine like terms: 30 + -30 = 0 0 + -6x = 12 + -30 -6x = 12 + -30 Combine like terms: 12 + -30 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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