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Simplifying 2(x + 5) = 6(2x + 5) Reorder the terms: 2(5 + x) = 6(2x + 5) (5 * 2 + x * 2) = 6(2x + 5) (10 + 2x) = 6(2x + 5) Reorder the terms: 10 + 2x = 6(5 + 2x) 10 + 2x = (5 * 6 + 2x * 6) 10 + 2x = (30 + 12x) Solving 10 + 2x = 30 + 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. 10 + 2x + -12x = 30 + 12x + -12x Combine like terms: 2x + -12x = -10x 10 + -10x = 30 + 12x + -12x Combine like terms: 12x + -12x = 0 10 + -10x = 30 + 0 10 + -10x = 30 Add '-10' to each side of the equation. 10 + -10 + -10x = 30 + -10 Combine like terms: 10 + -10 = 0 0 + -10x = 30 + -10 -10x = 30 + -10 Combine like terms: 30 + -10 = 20 -10x = 20 Divide each side by '-10'. x = -2 Simplifying x = -2
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