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Simplifying 12(x + 8) = 48(x + 2) Reorder the terms: 12(8 + x) = 48(x + 2) (8 * 12 + x * 12) = 48(x + 2) (96 + 12x) = 48(x + 2) Reorder the terms: 96 + 12x = 48(2 + x) 96 + 12x = (2 * 48 + x * 48) 96 + 12x = (96 + 48x) Add '-96' to each side of the equation. 96 + -96 + 12x = 96 + -96 + 48x Combine like terms: 96 + -96 = 0 0 + 12x = 96 + -96 + 48x 12x = 96 + -96 + 48x Combine like terms: 96 + -96 = 0 12x = 0 + 48x 12x = 48x Solving 12x = 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 12x + -48x = 48x + -48x Combine like terms: 12x + -48x = -36x -36x = 48x + -48x Combine like terms: 48x + -48x = 0 -36x = 0 Divide each side by '-36'. x = 0 Simplifying x = 0
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