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Simplifying 3(5 + 4x) = 2(3x + -5) (5 * 3 + 4x * 3) = 2(3x + -5) (15 + 12x) = 2(3x + -5) Reorder the terms: 15 + 12x = 2(-5 + 3x) 15 + 12x = (-5 * 2 + 3x * 2) 15 + 12x = (-10 + 6x) Solving 15 + 12x = -10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 15 + 12x + -6x = -10 + 6x + -6x Combine like terms: 12x + -6x = 6x 15 + 6x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + 6x = -10 + 0 15 + 6x = -10 Add '-15' to each side of the equation. 15 + -15 + 6x = -10 + -15 Combine like terms: 15 + -15 = 0 0 + 6x = -10 + -15 6x = -10 + -15 Combine like terms: -10 + -15 = -25 6x = -25 Divide each side by '6'. x = -4.166666667 Simplifying x = -4.166666667
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