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Simplifying 8(x + -3) + 14(x + 8) = 0 Reorder the terms: 8(-3 + x) + 14(x + 8) = 0 (-3 * 8 + x * 8) + 14(x + 8) = 0 (-24 + 8x) + 14(x + 8) = 0 Reorder the terms: -24 + 8x + 14(8 + x) = 0 -24 + 8x + (8 * 14 + x * 14) = 0 -24 + 8x + (112 + 14x) = 0 Reorder the terms: -24 + 112 + 8x + 14x = 0 Combine like terms: -24 + 112 = 88 88 + 8x + 14x = 0 Combine like terms: 8x + 14x = 22x 88 + 22x = 0 Solving 88 + 22x = 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 + 22x = 0 + -88 Combine like terms: 88 + -88 = 0 0 + 22x = 0 + -88 22x = 0 + -88 Combine like terms: 0 + -88 = -88 22x = -88 Divide each side by '22'. x = -4 Simplifying x = -4
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