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Simplifying (5x + -22) = (8x + 46) Reorder the terms: (-22 + 5x) = (8x + 46) Remove parenthesis around (-22 + 5x) -22 + 5x = (8x + 46) Reorder the terms: -22 + 5x = (46 + 8x) Remove parenthesis around (46 + 8x) -22 + 5x = 46 + 8x Solving -22 + 5x = 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. -22 + 5x + -8x = 46 + 8x + -8x Combine like terms: 5x + -8x = -3x -22 + -3x = 46 + 8x + -8x Combine like terms: 8x + -8x = 0 -22 + -3x = 46 + 0 -22 + -3x = 46 Add '22' to each side of the equation. -22 + 22 + -3x = 46 + 22 Combine like terms: -22 + 22 = 0 0 + -3x = 46 + 22 -3x = 46 + 22 Combine like terms: 46 + 22 = 68 -3x = 68 Divide each side by '-3'. x = -22.66666667 Simplifying x = -22.66666667
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