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Simplifying 8(x + -4) + 12(x + 10) = 0 Reorder the terms: 8(-4 + x) + 12(x + 10) = 0 (-4 * 8 + x * 8) + 12(x + 10) = 0 (-32 + 8x) + 12(x + 10) = 0 Reorder the terms: -32 + 8x + 12(10 + x) = 0 -32 + 8x + (10 * 12 + x * 12) = 0 -32 + 8x + (120 + 12x) = 0 Reorder the terms: -32 + 120 + 8x + 12x = 0 Combine like terms: -32 + 120 = 88 88 + 8x + 12x = 0 Combine like terms: 8x + 12x = 20x 88 + 20x = 0 Solving 88 + 20x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-88' to each side of the equation. 88 + -88 + 20x = 0 + -88 Combine like terms: 88 + -88 = 0 0 + 20x = 0 + -88 20x = 0 + -88 Combine like terms: 0 + -88 = -88 20x = -88 Divide each side by '20'. x = -4.4 Simplifying x = -4.4
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