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Simplifying 6(2x + 5) = 2(5x + -3) Reorder the terms: 6(5 + 2x) = 2(5x + -3) (5 * 6 + 2x * 6) = 2(5x + -3) (30 + 12x) = 2(5x + -3) Reorder the terms: 30 + 12x = 2(-3 + 5x) 30 + 12x = (-3 * 2 + 5x * 2) 30 + 12x = (-6 + 10x) Solving 30 + 12x = -6 + 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. 30 + 12x + -10x = -6 + 10x + -10x Combine like terms: 12x + -10x = 2x 30 + 2x = -6 + 10x + -10x Combine like terms: 10x + -10x = 0 30 + 2x = -6 + 0 30 + 2x = -6 Add '-30' to each side of the equation. 30 + -30 + 2x = -6 + -30 Combine like terms: 30 + -30 = 0 0 + 2x = -6 + -30 2x = -6 + -30 Combine like terms: -6 + -30 = -36 2x = -36 Divide each side by '2'. x = -18 Simplifying x = -18
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