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Simplifying 2(5x + 3) + -3(x + -4) = 0 Reorder the terms: 2(3 + 5x) + -3(x + -4) = 0 (3 * 2 + 5x * 2) + -3(x + -4) = 0 (6 + 10x) + -3(x + -4) = 0 Reorder the terms: 6 + 10x + -3(-4 + x) = 0 6 + 10x + (-4 * -3 + x * -3) = 0 6 + 10x + (12 + -3x) = 0 Reorder the terms: 6 + 12 + 10x + -3x = 0 Combine like terms: 6 + 12 = 18 18 + 10x + -3x = 0 Combine like terms: 10x + -3x = 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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