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Simplifying 12(3x + -5) = 10x + -8 Reorder the terms: 12(-5 + 3x) = 10x + -8 (-5 * 12 + 3x * 12) = 10x + -8 (-60 + 36x) = 10x + -8 Reorder the terms: -60 + 36x = -8 + 10x Solving -60 + 36x = -8 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -60 + 36x + -10x = -8 + 10x + -10x Combine like terms: 36x + -10x = 26x -60 + 26x = -8 + 10x + -10x Combine like terms: 10x + -10x = 0 -60 + 26x = -8 + 0 -60 + 26x = -8 Add '60' to each side of the equation. -60 + 60 + 26x = -8 + 60 Combine like terms: -60 + 60 = 0 0 + 26x = -8 + 60 26x = -8 + 60 Combine like terms: -8 + 60 = 52 26x = 52 Divide each side by '26'. x = 2 Simplifying x = 2
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