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Simplifying 8(x + 10) = 12(x + 8) Reorder the terms: 8(10 + x) = 12(x + 8) (10 * 8 + x * 8) = 12(x + 8) (80 + 8x) = 12(x + 8) Reorder the terms: 80 + 8x = 12(8 + x) 80 + 8x = (8 * 12 + x * 12) 80 + 8x = (96 + 12x) Solving 80 + 8x = 96 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 80 + 8x + -12x = 96 + 12x + -12x Combine like terms: 8x + -12x = -4x 80 + -4x = 96 + 12x + -12x Combine like terms: 12x + -12x = 0 80 + -4x = 96 + 0 80 + -4x = 96 Add '-80' to each side of the equation. 80 + -80 + -4x = 96 + -80 Combine like terms: 80 + -80 = 0 0 + -4x = 96 + -80 -4x = 96 + -80 Combine like terms: 96 + -80 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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