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Simplifying 3(2 + -1x) = 5(12 + x) (2 * 3 + -1x * 3) = 5(12 + x) (6 + -3x) = 5(12 + x) 6 + -3x = (12 * 5 + x * 5) 6 + -3x = (60 + 5x) Solving 6 + -3x = 60 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + -3x + -5x = 60 + 5x + -5x Combine like terms: -3x + -5x = -8x 6 + -8x = 60 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -8x = 60 + 0 6 + -8x = 60 Add '-6' to each side of the equation. 6 + -6 + -8x = 60 + -6 Combine like terms: 6 + -6 = 0 0 + -8x = 60 + -6 -8x = 60 + -6 Combine like terms: 60 + -6 = 54 -8x = 54 Divide each side by '-8'. x = -6.75 Simplifying x = -6.75
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