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Simplifying 3(4x + -5) + -5(x + -4) = 0 Reorder the terms: 3(-5 + 4x) + -5(x + -4) = 0 (-5 * 3 + 4x * 3) + -5(x + -4) = 0 (-15 + 12x) + -5(x + -4) = 0 Reorder the terms: -15 + 12x + -5(-4 + x) = 0 -15 + 12x + (-4 * -5 + x * -5) = 0 -15 + 12x + (20 + -5x) = 0 Reorder the terms: -15 + 20 + 12x + -5x = 0 Combine like terms: -15 + 20 = 5 5 + 12x + -5x = 0 Combine like terms: 12x + -5x = 7x 5 + 7x = 0 Solving 5 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 0 + -5 7x = 0 + -5 Combine like terms: 0 + -5 = -5 7x = -5 Divide each side by '7'. x = -0.7142857143 Simplifying x = -0.7142857143
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