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Simplifying 6(2x + 5) = 2(x + 10) Reorder the terms: 6(5 + 2x) = 2(x + 10) (5 * 6 + 2x * 6) = 2(x + 10) (30 + 12x) = 2(x + 10) Reorder the terms: 30 + 12x = 2(10 + x) 30 + 12x = (10 * 2 + x * 2) 30 + 12x = (20 + 2x) Solving 30 + 12x = 20 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 30 + 12x + -2x = 20 + 2x + -2x Combine like terms: 12x + -2x = 10x 30 + 10x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 30 + 10x = 20 + 0 30 + 10x = 20 Add '-30' to each side of the equation. 30 + -30 + 10x = 20 + -30 Combine like terms: 30 + -30 = 0 0 + 10x = 20 + -30 10x = 20 + -30 Combine like terms: 20 + -30 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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