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Simplifying 7x + -42 = 8x + -7 Reorder the terms: -42 + 7x = 8x + -7 Reorder the terms: -42 + 7x = -7 + 8x Solving -42 + 7x = -7 + 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 + 7x + -8x = -7 + 8x + -8x Combine like terms: 7x + -8x = -1x -42 + -1x = -7 + 8x + -8x Combine like terms: 8x + -8x = 0 -42 + -1x = -7 + 0 -42 + -1x = -7 Add '42' to each side of the equation. -42 + 42 + -1x = -7 + 42 Combine like terms: -42 + 42 = 0 0 + -1x = -7 + 42 -1x = -7 + 42 Combine like terms: -7 + 42 = 35 -1x = 35 Divide each side by '-1'. x = -35 Simplifying x = -35
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