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Simplifying 6(2x + 3) = 5(x + -2) Reorder the terms: 6(3 + 2x) = 5(x + -2) (3 * 6 + 2x * 6) = 5(x + -2) (18 + 12x) = 5(x + -2) Reorder the terms: 18 + 12x = 5(-2 + x) 18 + 12x = (-2 * 5 + x * 5) 18 + 12x = (-10 + 5x) Solving 18 + 12x = -10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 18 + 12x + -5x = -10 + 5x + -5x Combine like terms: 12x + -5x = 7x 18 + 7x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 18 + 7x = -10 + 0 18 + 7x = -10 Add '-18' to each side of the equation. 18 + -18 + 7x = -10 + -18 Combine like terms: 18 + -18 = 0 0 + 7x = -10 + -18 7x = -10 + -18 Combine like terms: -10 + -18 = -28 7x = -28 Divide each side by '7'. x = -4 Simplifying x = -4
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