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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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