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Simplifying 3x + 38 = 12x + -52 Reorder the terms: 38 + 3x = 12x + -52 Reorder the terms: 38 + 3x = -52 + 12x Solving 38 + 3x = -52 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 38 + 3x + -12x = -52 + 12x + -12x Combine like terms: 3x + -12x = -9x 38 + -9x = -52 + 12x + -12x Combine like terms: 12x + -12x = 0 38 + -9x = -52 + 0 38 + -9x = -52 Add '-38' to each side of the equation. 38 + -38 + -9x = -52 + -38 Combine like terms: 38 + -38 = 0 0 + -9x = -52 + -38 -9x = -52 + -38 Combine like terms: -52 + -38 = -90 -9x = -90 Divide each side by '-9'. x = 10 Simplifying x = 10
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