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Simplifying 10x + -14 = 7x + 1 Reorder the terms: -14 + 10x = 7x + 1 Reorder the terms: -14 + 10x = 1 + 7x Solving -14 + 10x = 1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -14 + 10x + -7x = 1 + 7x + -7x Combine like terms: 10x + -7x = 3x -14 + 3x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 -14 + 3x = 1 + 0 -14 + 3x = 1 Add '14' to each side of the equation. -14 + 14 + 3x = 1 + 14 Combine like terms: -14 + 14 = 0 0 + 3x = 1 + 14 3x = 1 + 14 Combine like terms: 1 + 14 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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