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Simplifying (3x + -38) = (2x + 12) Reorder the terms: (-38 + 3x) = (2x + 12) Remove parenthesis around (-38 + 3x) -38 + 3x = (2x + 12) Reorder the terms: -38 + 3x = (12 + 2x) Remove parenthesis around (12 + 2x) -38 + 3x = 12 + 2x Solving -38 + 3x = 12 + 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. -38 + 3x + -2x = 12 + 2x + -2x Combine like terms: 3x + -2x = 1x -38 + 1x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -38 + 1x = 12 + 0 -38 + 1x = 12 Add '38' to each side of the equation. -38 + 38 + 1x = 12 + 38 Combine like terms: -38 + 38 = 0 0 + 1x = 12 + 38 1x = 12 + 38 Combine like terms: 12 + 38 = 50 1x = 50 Divide each side by '1'. x = 50 Simplifying x = 50
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