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Simplifying 14x + 3x + -7 = 7x + 7 + -4x Reorder the terms: -7 + 14x + 3x = 7x + 7 + -4x Combine like terms: 14x + 3x = 17x -7 + 17x = 7x + 7 + -4x Reorder the terms: -7 + 17x = 7 + 7x + -4x Combine like terms: 7x + -4x = 3x -7 + 17x = 7 + 3x Solving -7 + 17x = 7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -7 + 17x + -3x = 7 + 3x + -3x Combine like terms: 17x + -3x = 14x -7 + 14x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + 14x = 7 + 0 -7 + 14x = 7 Add '7' to each side of the equation. -7 + 7 + 14x = 7 + 7 Combine like terms: -7 + 7 = 0 0 + 14x = 7 + 7 14x = 7 + 7 Combine like terms: 7 + 7 = 14 14x = 14 Divide each side by '14'. x = 1 Simplifying x = 1
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