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Simplifying 2(2x + 4) + -3(x + -2) = 0 Reorder the terms: 2(4 + 2x) + -3(x + -2) = 0 (4 * 2 + 2x * 2) + -3(x + -2) = 0 (8 + 4x) + -3(x + -2) = 0 Reorder the terms: 8 + 4x + -3(-2 + x) = 0 8 + 4x + (-2 * -3 + x * -3) = 0 8 + 4x + (6 + -3x) = 0 Reorder the terms: 8 + 6 + 4x + -3x = 0 Combine like terms: 8 + 6 = 14 14 + 4x + -3x = 0 Combine like terms: 4x + -3x = 1x 14 + 1x = 0 Solving 14 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = 0 + -14 1x = 0 + -14 Combine like terms: 0 + -14 = -14 1x = -14 Divide each side by '1'. x = -14 Simplifying x = -14
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