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Simplifying 3(12 + -2) = 30 + 12 + -2 + -1x + -2 Combine like terms: 12 + -2 = 10 3(10) = 30 + 12 + -2 + -1x + -2 Multiply 3 * 10 30 = 30 + 12 + -2 + -1x + -2 Reorder the terms: 30 = 30 + 12 + -2 + -2 + -1x Combine like terms: 30 + 12 = 42 30 = 42 + -2 + -2 + -1x Combine like terms: 42 + -2 = 40 30 = 40 + -2 + -1x Combine like terms: 40 + -2 = 38 30 = 38 + -1x Solving 30 = 38 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 30 + x = 38 + -1x + x Combine like terms: -1x + x = 0 30 + x = 38 + 0 30 + x = 38 Add '-30' to each side of the equation. 30 + -30 + x = 38 + -30 Combine like terms: 30 + -30 = 0 0 + x = 38 + -30 x = 38 + -30 Combine like terms: 38 + -30 = 8 x = 8 Simplifying x = 8
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