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Simplifying 2(4x + -5) + 3(4 + -2x) = 0 Reorder the terms: 2(-5 + 4x) + 3(4 + -2x) = 0 (-5 * 2 + 4x * 2) + 3(4 + -2x) = 0 (-10 + 8x) + 3(4 + -2x) = 0 -10 + 8x + (4 * 3 + -2x * 3) = 0 -10 + 8x + (12 + -6x) = 0 Reorder the terms: -10 + 12 + 8x + -6x = 0 Combine like terms: -10 + 12 = 2 2 + 8x + -6x = 0 Combine like terms: 8x + -6x = 2x 2 + 2x = 0 Solving 2 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 2x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 0 + -2 2x = 0 + -2 Combine like terms: 0 + -2 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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