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Simplifying 5x + 42 + -6x = 2 + -8x + 5 Reorder the terms: 42 + 5x + -6x = 2 + -8x + 5 Combine like terms: 5x + -6x = -1x 42 + -1x = 2 + -8x + 5 Reorder the terms: 42 + -1x = 2 + 5 + -8x Combine like terms: 2 + 5 = 7 42 + -1x = 7 + -8x Solving 42 + -1x = 7 + -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 + -1x + 8x = 7 + -8x + 8x Combine like terms: -1x + 8x = 7x 42 + 7x = 7 + -8x + 8x Combine like terms: -8x + 8x = 0 42 + 7x = 7 + 0 42 + 7x = 7 Add '-42' to each side of the equation. 42 + -42 + 7x = 7 + -42 Combine like terms: 42 + -42 = 0 0 + 7x = 7 + -42 7x = 7 + -42 Combine like terms: 7 + -42 = -35 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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