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Simplifying 2(3x + 4) + 5(2x + -4) = 0 Reorder the terms: 2(4 + 3x) + 5(2x + -4) = 0 (4 * 2 + 3x * 2) + 5(2x + -4) = 0 (8 + 6x) + 5(2x + -4) = 0 Reorder the terms: 8 + 6x + 5(-4 + 2x) = 0 8 + 6x + (-4 * 5 + 2x * 5) = 0 8 + 6x + (-20 + 10x) = 0 Reorder the terms: 8 + -20 + 6x + 10x = 0 Combine like terms: 8 + -20 = -12 -12 + 6x + 10x = 0 Combine like terms: 6x + 10x = 16x -12 + 16x = 0 Solving -12 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 16x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 16x = 0 + 12 16x = 0 + 12 Combine like terms: 0 + 12 = 12 16x = 12 Divide each side by '16'. x = 0.75 Simplifying x = 0.75
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