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Simplifying 3(4x + 6) = 5(2x + -5) Reorder the terms: 3(6 + 4x) = 5(2x + -5) (6 * 3 + 4x * 3) = 5(2x + -5) (18 + 12x) = 5(2x + -5) Reorder the terms: 18 + 12x = 5(-5 + 2x) 18 + 12x = (-5 * 5 + 2x * 5) 18 + 12x = (-25 + 10x) Solving 18 + 12x = -25 + 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 = -25 + 10x + -10x Combine like terms: 12x + -10x = 2x 18 + 2x = -25 + 10x + -10x Combine like terms: 10x + -10x = 0 18 + 2x = -25 + 0 18 + 2x = -25 Add '-18' to each side of the equation. 18 + -18 + 2x = -25 + -18 Combine like terms: 18 + -18 = 0 0 + 2x = -25 + -18 2x = -25 + -18 Combine like terms: -25 + -18 = -43 2x = -43 Divide each side by '2'. x = -21.5 Simplifying x = -21.5
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