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Simplifying 3(x + -12) = 30 + x + -2 + -1x + 2 Reorder the terms: 3(-12 + x) = 30 + x + -2 + -1x + 2 (-12 * 3 + x * 3) = 30 + x + -2 + -1x + 2 (-36 + 3x) = 30 + x + -2 + -1x + 2 Reorder the terms: -36 + 3x = 30 + -2 + 2 + x + -1x Combine like terms: 30 + -2 = 28 -36 + 3x = 28 + 2 + x + -1x Combine like terms: 28 + 2 = 30 -36 + 3x = 30 + x + -1x Combine like terms: x + -1x = 0 -36 + 3x = 30 + 0 -36 + 3x = 30 Solving -36 + 3x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 3x = 30 + 36 Combine like terms: -36 + 36 = 0 0 + 3x = 30 + 36 3x = 30 + 36 Combine like terms: 30 + 36 = 66 3x = 66 Divide each side by '3'. x = 22 Simplifying x = 22
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