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Simplifying 8(x + 3) = 12(x + 2) Reorder the terms: 8(3 + x) = 12(x + 2) (3 * 8 + x * 8) = 12(x + 2) (24 + 8x) = 12(x + 2) Reorder the terms: 24 + 8x = 12(2 + x) 24 + 8x = (2 * 12 + x * 12) 24 + 8x = (24 + 12x) Add '-24' to each side of the equation. 24 + -24 + 8x = 24 + -24 + 12x Combine like terms: 24 + -24 = 0 0 + 8x = 24 + -24 + 12x 8x = 24 + -24 + 12x Combine like terms: 24 + -24 = 0 8x = 0 + 12x 8x = 12x Solving 8x = 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. 8x + -12x = 12x + -12x Combine like terms: 8x + -12x = -4x -4x = 12x + -12x Combine like terms: 12x + -12x = 0 -4x = 0 Divide each side by '-4'. x = 0 Simplifying x = 0
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