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