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Simplifying 3(4x + 5) = -4(3x + -4) Reorder the terms: 3(5 + 4x) = -4(3x + -4) (5 * 3 + 4x * 3) = -4(3x + -4) (15 + 12x) = -4(3x + -4) Reorder the terms: 15 + 12x = -4(-4 + 3x) 15 + 12x = (-4 * -4 + 3x * -4) 15 + 12x = (16 + -12x) Solving 15 + 12x = 16 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 15 + 12x + 12x = 16 + -12x + 12x Combine like terms: 12x + 12x = 24x 15 + 24x = 16 + -12x + 12x Combine like terms: -12x + 12x = 0 15 + 24x = 16 + 0 15 + 24x = 16 Add '-15' to each side of the equation. 15 + -15 + 24x = 16 + -15 Combine like terms: 15 + -15 = 0 0 + 24x = 16 + -15 24x = 16 + -15 Combine like terms: 16 + -15 = 1 24x = 1 Divide each side by '24'. x = 0.04166666667 Simplifying x = 0.04166666667
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