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Simplifying 3(x + -5) + -12 = (x + -6) + 3 Reorder the terms: 3(-5 + x) + -12 = (x + -6) + 3 (-5 * 3 + x * 3) + -12 = (x + -6) + 3 (-15 + 3x) + -12 = (x + -6) + 3 Reorder the terms: -15 + -12 + 3x = (x + -6) + 3 Combine like terms: -15 + -12 = -27 -27 + 3x = (x + -6) + 3 Reorder the terms: -27 + 3x = (-6 + x) + 3 Remove parenthesis around (-6 + x) -27 + 3x = -6 + x + 3 Reorder the terms: -27 + 3x = -6 + 3 + x Combine like terms: -6 + 3 = -3 -27 + 3x = -3 + x Solving -27 + 3x = -3 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -27 + 3x + -1x = -3 + x + -1x Combine like terms: 3x + -1x = 2x -27 + 2x = -3 + x + -1x Combine like terms: x + -1x = 0 -27 + 2x = -3 + 0 -27 + 2x = -3 Add '27' to each side of the equation. -27 + 27 + 2x = -3 + 27 Combine like terms: -27 + 27 = 0 0 + 2x = -3 + 27 2x = -3 + 27 Combine like terms: -3 + 27 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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