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Simplifying 5x + 42 + -6x = 2 + -7x + 4 Reorder the terms: 42 + 5x + -6x = 2 + -7x + 4 Combine like terms: 5x + -6x = -1x 42 + -1x = 2 + -7x + 4 Reorder the terms: 42 + -1x = 2 + 4 + -7x Combine like terms: 2 + 4 = 6 42 + -1x = 6 + -7x Solving 42 + -1x = 6 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 42 + -1x + 7x = 6 + -7x + 7x Combine like terms: -1x + 7x = 6x 42 + 6x = 6 + -7x + 7x Combine like terms: -7x + 7x = 0 42 + 6x = 6 + 0 42 + 6x = 6 Add '-42' to each side of the equation. 42 + -42 + 6x = 6 + -42 Combine like terms: 42 + -42 = 0 0 + 6x = 6 + -42 6x = 6 + -42 Combine like terms: 6 + -42 = -36 6x = -36 Divide each side by '6'. x = -6 Simplifying x = -6
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