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Simplifying 2(x + 4) + 3(2x + -2) = 0 Reorder the terms: 2(4 + x) + 3(2x + -2) = 0 (4 * 2 + x * 2) + 3(2x + -2) = 0 (8 + 2x) + 3(2x + -2) = 0 Reorder the terms: 8 + 2x + 3(-2 + 2x) = 0 8 + 2x + (-2 * 3 + 2x * 3) = 0 8 + 2x + (-6 + 6x) = 0 Reorder the terms: 8 + -6 + 2x + 6x = 0 Combine like terms: 8 + -6 = 2 2 + 2x + 6x = 0 Combine like terms: 2x + 6x = 8x 2 + 8x = 0 Solving 2 + 8x = 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 + 8x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 0 + -2 8x = 0 + -2 Combine like terms: 0 + -2 = -2 8x = -2 Divide each side by '8'. x = -0.25 Simplifying x = -0.25
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