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Simplifying -38 + 4x = 46 + 8x Solving -38 + 4x = 46 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -38 + 4x + -8x = 46 + 8x + -8x Combine like terms: 4x + -8x = -4x -38 + -4x = 46 + 8x + -8x Combine like terms: 8x + -8x = 0 -38 + -4x = 46 + 0 -38 + -4x = 46 Add '38' to each side of the equation. -38 + 38 + -4x = 46 + 38 Combine like terms: -38 + 38 = 0 0 + -4x = 46 + 38 -4x = 46 + 38 Combine like terms: 46 + 38 = 84 -4x = 84 Divide each side by '-4'. x = -21 Simplifying x = -21
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