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Simplifying 7x + -7 = x + 35 Reorder the terms: -7 + 7x = x + 35 Reorder the terms: -7 + 7x = 35 + x Solving -7 + 7x = 35 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -7 + 7x + -1x = 35 + x + -1x Combine like terms: 7x + -1x = 6x -7 + 6x = 35 + x + -1x Combine like terms: x + -1x = 0 -7 + 6x = 35 + 0 -7 + 6x = 35 Add '7' to each side of the equation. -7 + 7 + 6x = 35 + 7 Combine like terms: -7 + 7 = 0 0 + 6x = 35 + 7 6x = 35 + 7 Combine like terms: 35 + 7 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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