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Simplifying 6(2x + 3) = 10x + -6 Reorder the terms: 6(3 + 2x) = 10x + -6 (3 * 6 + 2x * 6) = 10x + -6 (18 + 12x) = 10x + -6 Reorder the terms: 18 + 12x = -6 + 10x Solving 18 + 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. 18 + 12x + -10x = -6 + 10x + -10x Combine like terms: 12x + -10x = 2x 18 + 2x = -6 + 10x + -10x Combine like terms: 10x + -10x = 0 18 + 2x = -6 + 0 18 + 2x = -6 Add '-18' to each side of the equation. 18 + -18 + 2x = -6 + -18 Combine like terms: 18 + -18 = 0 0 + 2x = -6 + -18 2x = -6 + -18 Combine like terms: -6 + -18 = -24 2x = -24 Divide each side by '2'. x = -12 Simplifying x = -12
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