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Simplifying x * 3 + 38 = x * 5 + -12 Reorder the terms for easier multiplication: 3x + 38 = x * 5 + -12 Reorder the terms: 38 + 3x = x * 5 + -12 Reorder the terms for easier multiplication: 38 + 3x = 5x + -12 Reorder the terms: 38 + 3x = -12 + 5x Solving 38 + 3x = -12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 38 + 3x + -5x = -12 + 5x + -5x Combine like terms: 3x + -5x = -2x 38 + -2x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 38 + -2x = -12 + 0 38 + -2x = -12 Add '-38' to each side of the equation. 38 + -38 + -2x = -12 + -38 Combine like terms: 38 + -38 = 0 0 + -2x = -12 + -38 -2x = -12 + -38 Combine like terms: -12 + -38 = -50 -2x = -50 Divide each side by '-2'. x = 25 Simplifying x = 25
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