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Simplifying 2(2x + -4) + 3(2x + 3) = 0 Reorder the terms: 2(-4 + 2x) + 3(2x + 3) = 0 (-4 * 2 + 2x * 2) + 3(2x + 3) = 0 (-8 + 4x) + 3(2x + 3) = 0 Reorder the terms: -8 + 4x + 3(3 + 2x) = 0 -8 + 4x + (3 * 3 + 2x * 3) = 0 -8 + 4x + (9 + 6x) = 0 Reorder the terms: -8 + 9 + 4x + 6x = 0 Combine like terms: -8 + 9 = 1 1 + 4x + 6x = 0 Combine like terms: 4x + 6x = 10x 1 + 10x = 0 Solving 1 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 10x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 10x = 0 + -1 10x = 0 + -1 Combine like terms: 0 + -1 = -1 10x = -1 Divide each side by '10'. x = -0.1 Simplifying x = -0.1
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