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Simplifying 3x + -13 + 14x = 7x + 1 Reorder the terms: -13 + 3x + 14x = 7x + 1 Combine like terms: 3x + 14x = 17x -13 + 17x = 7x + 1 Reorder the terms: -13 + 17x = 1 + 7x Solving -13 + 17x = 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. -13 + 17x + -7x = 1 + 7x + -7x Combine like terms: 17x + -7x = 10x -13 + 10x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 -13 + 10x = 1 + 0 -13 + 10x = 1 Add '13' to each side of the equation. -13 + 13 + 10x = 1 + 13 Combine like terms: -13 + 13 = 0 0 + 10x = 1 + 13 10x = 1 + 13 Combine like terms: 1 + 13 = 14 10x = 14 Divide each side by '10'. x = 1.4 Simplifying x = 1.4
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