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Simplifying 2(2x + -3) + 2(3x + 4) = 0 Reorder the terms: 2(-3 + 2x) + 2(3x + 4) = 0 (-3 * 2 + 2x * 2) + 2(3x + 4) = 0 (-6 + 4x) + 2(3x + 4) = 0 Reorder the terms: -6 + 4x + 2(4 + 3x) = 0 -6 + 4x + (4 * 2 + 3x * 2) = 0 -6 + 4x + (8 + 6x) = 0 Reorder the terms: -6 + 8 + 4x + 6x = 0 Combine like terms: -6 + 8 = 2 2 + 4x + 6x = 0 Combine like terms: 4x + 6x = 10x 2 + 10x = 0 Solving 2 + 10x = 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 + 10x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 10x = 0 + -2 10x = 0 + -2 Combine like terms: 0 + -2 = -2 10x = -2 Divide each side by '10'. x = -0.2 Simplifying x = -0.2
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