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Simplifying 6(3x + 5) = 2(10x + 10) Reorder the terms: 6(5 + 3x) = 2(10x + 10) (5 * 6 + 3x * 6) = 2(10x + 10) (30 + 18x) = 2(10x + 10) Reorder the terms: 30 + 18x = 2(10 + 10x) 30 + 18x = (10 * 2 + 10x * 2) 30 + 18x = (20 + 20x) Solving 30 + 18x = 20 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 30 + 18x + -20x = 20 + 20x + -20x Combine like terms: 18x + -20x = -2x 30 + -2x = 20 + 20x + -20x Combine like terms: 20x + -20x = 0 30 + -2x = 20 + 0 30 + -2x = 20 Add '-30' to each side of the equation. 30 + -30 + -2x = 20 + -30 Combine like terms: 30 + -30 = 0 0 + -2x = 20 + -30 -2x = 20 + -30 Combine like terms: 20 + -30 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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