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Simplifying 42 + -5x = 8x + 22 Reorder the terms: 42 + -5x = 22 + 8x Solving 42 + -5x = 22 + 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. 42 + -5x + -8x = 22 + 8x + -8x Combine like terms: -5x + -8x = -13x 42 + -13x = 22 + 8x + -8x Combine like terms: 8x + -8x = 0 42 + -13x = 22 + 0 42 + -13x = 22 Add '-42' to each side of the equation. 42 + -42 + -13x = 22 + -42 Combine like terms: 42 + -42 = 0 0 + -13x = 22 + -42 -13x = 22 + -42 Combine like terms: 22 + -42 = -20 -13x = -20 Divide each side by '-13'. x = 1.538461538 Simplifying x = 1.538461538
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