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Simplifying 7x + 2(5x + 1) = 14x + -1 Reorder the terms: 7x + 2(1 + 5x) = 14x + -1 7x + (1 * 2 + 5x * 2) = 14x + -1 7x + (2 + 10x) = 14x + -1 Reorder the terms: 2 + 7x + 10x = 14x + -1 Combine like terms: 7x + 10x = 17x 2 + 17x = 14x + -1 Reorder the terms: 2 + 17x = -1 + 14x Solving 2 + 17x = -1 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 2 + 17x + -14x = -1 + 14x + -14x Combine like terms: 17x + -14x = 3x 2 + 3x = -1 + 14x + -14x Combine like terms: 14x + -14x = 0 2 + 3x = -1 + 0 2 + 3x = -1 Add '-2' to each side of the equation. 2 + -2 + 3x = -1 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = -1 + -2 3x = -1 + -2 Combine like terms: -1 + -2 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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