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Simplifying 2(4x + -5) + -3(6 + -2x) = 0 Reorder the terms: 2(-5 + 4x) + -3(6 + -2x) = 0 (-5 * 2 + 4x * 2) + -3(6 + -2x) = 0 (-10 + 8x) + -3(6 + -2x) = 0 -10 + 8x + (6 * -3 + -2x * -3) = 0 -10 + 8x + (-18 + 6x) = 0 Reorder the terms: -10 + -18 + 8x + 6x = 0 Combine like terms: -10 + -18 = -28 -28 + 8x + 6x = 0 Combine like terms: 8x + 6x = 14x -28 + 14x = 0 Solving -28 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 14x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 14x = 0 + 28 14x = 0 + 28 Combine like terms: 0 + 28 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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