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