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Simplifying 42 + -7x = 46 + -1x Solving 42 + -7x = 46 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 42 + -7x + x = 46 + -1x + x Combine like terms: -7x + x = -6x 42 + -6x = 46 + -1x + x Combine like terms: -1x + x = 0 42 + -6x = 46 + 0 42 + -6x = 46 Add '-42' to each side of the equation. 42 + -42 + -6x = 46 + -42 Combine like terms: 42 + -42 = 0 0 + -6x = 46 + -42 -6x = 46 + -42 Combine like terms: 46 + -42 = 4 -6x = 4 Divide each side by '-6'. x = -0.6666666667 Simplifying x = -0.6666666667
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