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Simplifying 6(2x + 4) = 5(3x + -2) Reorder the terms: 6(4 + 2x) = 5(3x + -2) (4 * 6 + 2x * 6) = 5(3x + -2) (24 + 12x) = 5(3x + -2) Reorder the terms: 24 + 12x = 5(-2 + 3x) 24 + 12x = (-2 * 5 + 3x * 5) 24 + 12x = (-10 + 15x) Solving 24 + 12x = -10 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 24 + 12x + -15x = -10 + 15x + -15x Combine like terms: 12x + -15x = -3x 24 + -3x = -10 + 15x + -15x Combine like terms: 15x + -15x = 0 24 + -3x = -10 + 0 24 + -3x = -10 Add '-24' to each side of the equation. 24 + -24 + -3x = -10 + -24 Combine like terms: 24 + -24 = 0 0 + -3x = -10 + -24 -3x = -10 + -24 Combine like terms: -10 + -24 = -34 -3x = -34 Divide each side by '-3'. x = 11.33333333 Simplifying x = 11.33333333
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