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Simplifying (3x + -12) = (2x + 38) Reorder the terms: (-12 + 3x) = (2x + 38) Remove parenthesis around (-12 + 3x) -12 + 3x = (2x + 38) Reorder the terms: -12 + 3x = (38 + 2x) Remove parenthesis around (38 + 2x) -12 + 3x = 38 + 2x Solving -12 + 3x = 38 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -12 + 3x + -2x = 38 + 2x + -2x Combine like terms: 3x + -2x = 1x -12 + 1x = 38 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 1x = 38 + 0 -12 + 1x = 38 Add '12' to each side of the equation. -12 + 12 + 1x = 38 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = 38 + 12 1x = 38 + 12 Combine like terms: 38 + 12 = 50 1x = 50 Divide each side by '1'. x = 50 Simplifying x = 50
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