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Simplifying 4(2 + -1x) + -5(-4 + -12x) = 0 (2 * 4 + -1x * 4) + -5(-4 + -12x) = 0 (8 + -4x) + -5(-4 + -12x) = 0 8 + -4x + (-4 * -5 + -12x * -5) = 0 8 + -4x + (20 + 60x) = 0 Reorder the terms: 8 + 20 + -4x + 60x = 0 Combine like terms: 8 + 20 = 28 28 + -4x + 60x = 0 Combine like terms: -4x + 60x = 56x 28 + 56x = 0 Solving 28 + 56x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 56x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 56x = 0 + -28 56x = 0 + -28 Combine like terms: 0 + -28 = -28 56x = -28 Divide each side by '56'. x = -0.5 Simplifying x = -0.5
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