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Simplifying 2(0.5x + 2) + -4(-1.5x + -5) = 0 Reorder the terms: 2(2 + 0.5x) + -4(-1.5x + -5) = 0 (2 * 2 + 0.5x * 2) + -4(-1.5x + -5) = 0 (4 + 1x) + -4(-1.5x + -5) = 0 Reorder the terms: 4 + 1x + -4(-5 + -1.5x) = 0 4 + 1x + (-5 * -4 + -1.5x * -4) = 0 4 + 1x + (20 + 6x) = 0 Reorder the terms: 4 + 20 + 1x + 6x = 0 Combine like terms: 4 + 20 = 24 24 + 1x + 6x = 0 Combine like terms: 1x + 6x = 7x 24 + 7x = 0 Solving 24 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 7x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 7x = 0 + -24 7x = 0 + -24 Combine like terms: 0 + -24 = -24 7x = -24 Divide each side by '7'. x = -3.428571429 Simplifying x = -3.428571429
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