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Simplifying -2(6x + -4) + 5(x + 2) = 0 Reorder the terms: -2(-4 + 6x) + 5(x + 2) = 0 (-4 * -2 + 6x * -2) + 5(x + 2) = 0 (8 + -12x) + 5(x + 2) = 0 Reorder the terms: 8 + -12x + 5(2 + x) = 0 8 + -12x + (2 * 5 + x * 5) = 0 8 + -12x + (10 + 5x) = 0 Reorder the terms: 8 + 10 + -12x + 5x = 0 Combine like terms: 8 + 10 = 18 18 + -12x + 5x = 0 Combine like terms: -12x + 5x = -7x 18 + -7x = 0 Solving 18 + -7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -7x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -7x = 0 + -18 -7x = 0 + -18 Combine like terms: 0 + -18 = -18 -7x = -18 Divide each side by '-7'. x = 2.571428571 Simplifying x = 2.571428571
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