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Simplifying -38 + -12x = -9x + 46 Reorder the terms: -38 + -12x = 46 + -9x Solving -38 + -12x = 46 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -38 + -12x + 9x = 46 + -9x + 9x Combine like terms: -12x + 9x = -3x -38 + -3x = 46 + -9x + 9x Combine like terms: -9x + 9x = 0 -38 + -3x = 46 + 0 -38 + -3x = 46 Add '38' to each side of the equation. -38 + 38 + -3x = 46 + 38 Combine like terms: -38 + 38 = 0 0 + -3x = 46 + 38 -3x = 46 + 38 Combine like terms: 46 + 38 = 84 -3x = 84 Divide each side by '-3'. x = -28 Simplifying x = -28
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