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Simplifying 10x + 5x + -35 = x + 7 Reorder the terms: -35 + 10x + 5x = x + 7 Combine like terms: 10x + 5x = 15x -35 + 15x = x + 7 Reorder the terms: -35 + 15x = 7 + x Solving -35 + 15x = 7 + 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. -35 + 15x + -1x = 7 + x + -1x Combine like terms: 15x + -1x = 14x -35 + 14x = 7 + x + -1x Combine like terms: x + -1x = 0 -35 + 14x = 7 + 0 -35 + 14x = 7 Add '35' to each side of the equation. -35 + 35 + 14x = 7 + 35 Combine like terms: -35 + 35 = 0 0 + 14x = 7 + 35 14x = 7 + 35 Combine like terms: 7 + 35 = 42 14x = 42 Divide each side by '14'. x = 3 Simplifying x = 3
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