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Simplifying 8(x + -2) + 12(x + 7) = 0 Reorder the terms: 8(-2 + x) + 12(x + 7) = 0 (-2 * 8 + x * 8) + 12(x + 7) = 0 (-16 + 8x) + 12(x + 7) = 0 Reorder the terms: -16 + 8x + 12(7 + x) = 0 -16 + 8x + (7 * 12 + x * 12) = 0 -16 + 8x + (84 + 12x) = 0 Reorder the terms: -16 + 84 + 8x + 12x = 0 Combine like terms: -16 + 84 = 68 68 + 8x + 12x = 0 Combine like terms: 8x + 12x = 20x 68 + 20x = 0 Solving 68 + 20x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-68' to each side of the equation. 68 + -68 + 20x = 0 + -68 Combine like terms: 68 + -68 = 0 0 + 20x = 0 + -68 20x = 0 + -68 Combine like terms: 0 + -68 = -68 20x = -68 Divide each side by '20'. x = -3.4 Simplifying x = -3.4
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