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Simplifying 4(3x + 6) = 3(5x + -2) Reorder the terms: 4(6 + 3x) = 3(5x + -2) (6 * 4 + 3x * 4) = 3(5x + -2) (24 + 12x) = 3(5x + -2) Reorder the terms: 24 + 12x = 3(-2 + 5x) 24 + 12x = (-2 * 3 + 5x * 3) 24 + 12x = (-6 + 15x) Solving 24 + 12x = -6 + 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 = -6 + 15x + -15x Combine like terms: 12x + -15x = -3x 24 + -3x = -6 + 15x + -15x Combine like terms: 15x + -15x = 0 24 + -3x = -6 + 0 24 + -3x = -6 Add '-24' to each side of the equation. 24 + -24 + -3x = -6 + -24 Combine like terms: 24 + -24 = 0 0 + -3x = -6 + -24 -3x = -6 + -24 Combine like terms: -6 + -24 = -30 -3x = -30 Divide each side by '-3'. x = 10 Simplifying x = 10
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