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Simplifying 8(x + 13) = 12(x + -8) Reorder the terms: 8(13 + x) = 12(x + -8) (13 * 8 + x * 8) = 12(x + -8) (104 + 8x) = 12(x + -8) Reorder the terms: 104 + 8x = 12(-8 + x) 104 + 8x = (-8 * 12 + x * 12) 104 + 8x = (-96 + 12x) Solving 104 + 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. 104 + 8x + -12x = -96 + 12x + -12x Combine like terms: 8x + -12x = -4x 104 + -4x = -96 + 12x + -12x Combine like terms: 12x + -12x = 0 104 + -4x = -96 + 0 104 + -4x = -96 Add '-104' to each side of the equation. 104 + -104 + -4x = -96 + -104 Combine like terms: 104 + -104 = 0 0 + -4x = -96 + -104 -4x = -96 + -104 Combine like terms: -96 + -104 = -200 -4x = -200 Divide each side by '-4'. x = 50 Simplifying x = 50
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