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Simplifying 5x + 42 = 13x + -22 Reorder the terms: 42 + 5x = 13x + -22 Reorder the terms: 42 + 5x = -22 + 13x Solving 42 + 5x = -22 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 42 + 5x + -13x = -22 + 13x + -13x Combine like terms: 5x + -13x = -8x 42 + -8x = -22 + 13x + -13x Combine like terms: 13x + -13x = 0 42 + -8x = -22 + 0 42 + -8x = -22 Add '-42' to each side of the equation. 42 + -42 + -8x = -22 + -42 Combine like terms: 42 + -42 = 0 0 + -8x = -22 + -42 -8x = -22 + -42 Combine like terms: -22 + -42 = -64 -8x = -64 Divide each side by '-8'. x = 8 Simplifying x = 8
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