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Simplifying 2x + 38 = 3x + -12 Reorder the terms: 38 + 2x = 3x + -12 Reorder the terms: 38 + 2x = -12 + 3x Solving 38 + 2x = -12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 38 + 2x + -3x = -12 + 3x + -3x Combine like terms: 2x + -3x = -1x 38 + -1x = -12 + 3x + -3x Combine like terms: 3x + -3x = 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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