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Simplifying 3x + 42 + -4x = 2 + -8x Reorder the terms: 42 + 3x + -4x = 2 + -8x Combine like terms: 3x + -4x = -1x 42 + -1x = 2 + -8x Solving 42 + -1x = 2 + -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 = 2 + -8x + 8x Combine like terms: -1x + 8x = 7x 42 + 7x = 2 + -8x + 8x Combine like terms: -8x + 8x = 0 42 + 7x = 2 + 0 42 + 7x = 2 Add '-42' to each side of the equation. 42 + -42 + 7x = 2 + -42 Combine like terms: 42 + -42 = 0 0 + 7x = 2 + -42 7x = 2 + -42 Combine like terms: 2 + -42 = -40 7x = -40 Divide each side by '7'. x = -5.714285714 Simplifying x = -5.714285714
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