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Simplifying 4x + 42 + -5x = 2 + -8x + -5 Reorder the terms: 42 + 4x + -5x = 2 + -8x + -5 Combine like terms: 4x + -5x = -1x 42 + -1x = 2 + -8x + -5 Reorder the terms: 42 + -1x = 2 + -5 + -8x Combine like terms: 2 + -5 = -3 42 + -1x = -3 + -8x Solving 42 + -1x = -3 + -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 = -3 + -8x + 8x Combine like terms: -1x + 8x = 7x 42 + 7x = -3 + -8x + 8x Combine like terms: -8x + 8x = 0 42 + 7x = -3 + 0 42 + 7x = -3 Add '-42' to each side of the equation. 42 + -42 + 7x = -3 + -42 Combine like terms: 42 + -42 = 0 0 + 7x = -3 + -42 7x = -3 + -42 Combine like terms: -3 + -42 = -45 7x = -45 Divide each side by '7'. x = -6.428571429 Simplifying x = -6.428571429
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