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Simplifying 2(x + 2) + -4(5x + -4) + -14x = 0 Reorder the terms: 2(2 + x) + -4(5x + -4) + -14x = 0 (2 * 2 + x * 2) + -4(5x + -4) + -14x = 0 (4 + 2x) + -4(5x + -4) + -14x = 0 Reorder the terms: 4 + 2x + -4(-4 + 5x) + -14x = 0 4 + 2x + (-4 * -4 + 5x * -4) + -14x = 0 4 + 2x + (16 + -20x) + -14x = 0 Reorder the terms: 4 + 16 + 2x + -20x + -14x = 0 Combine like terms: 4 + 16 = 20 20 + 2x + -20x + -14x = 0 Combine like terms: 2x + -20x = -18x 20 + -18x + -14x = 0 Combine like terms: -18x + -14x = -32x 20 + -32x = 0 Solving 20 + -32x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -32x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -32x = 0 + -20 -32x = 0 + -20 Combine like terms: 0 + -20 = -20 -32x = -20 Divide each side by '-32'. x = 0.625 Simplifying x = 0.625
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