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Simplifying 2(x + 3) = 5(6 + -2x) Reorder the terms: 2(3 + x) = 5(6 + -2x) (3 * 2 + x * 2) = 5(6 + -2x) (6 + 2x) = 5(6 + -2x) 6 + 2x = (6 * 5 + -2x * 5) 6 + 2x = (30 + -10x) Solving 6 + 2x = 30 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 6 + 2x + 10x = 30 + -10x + 10x Combine like terms: 2x + 10x = 12x 6 + 12x = 30 + -10x + 10x Combine like terms: -10x + 10x = 0 6 + 12x = 30 + 0 6 + 12x = 30 Add '-6' to each side of the equation. 6 + -6 + 12x = 30 + -6 Combine like terms: 6 + -6 = 0 0 + 12x = 30 + -6 12x = 30 + -6 Combine like terms: 30 + -6 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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