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Simplifying 5(x + 3) + -6(2x + -4) = 0 Reorder the terms: 5(3 + x) + -6(2x + -4) = 0 (3 * 5 + x * 5) + -6(2x + -4) = 0 (15 + 5x) + -6(2x + -4) = 0 Reorder the terms: 15 + 5x + -6(-4 + 2x) = 0 15 + 5x + (-4 * -6 + 2x * -6) = 0 15 + 5x + (24 + -12x) = 0 Reorder the terms: 15 + 24 + 5x + -12x = 0 Combine like terms: 15 + 24 = 39 39 + 5x + -12x = 0 Combine like terms: 5x + -12x = -7x 39 + -7x = 0 Solving 39 + -7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + -7x = 0 + -39 Combine like terms: 39 + -39 = 0 0 + -7x = 0 + -39 -7x = 0 + -39 Combine like terms: 0 + -39 = -39 -7x = -39 Divide each side by '-7'. x = 5.571428571 Simplifying x = 5.571428571
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