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Simplifying 8x + 1 = 7x + -2(7 + x) Reorder the terms: 1 + 8x = 7x + -2(7 + x) 1 + 8x = 7x + (7 * -2 + x * -2) 1 + 8x = 7x + (-14 + -2x) Reorder the terms: 1 + 8x = -14 + 7x + -2x Combine like terms: 7x + -2x = 5x 1 + 8x = -14 + 5x Solving 1 + 8x = -14 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 1 + 8x + -5x = -14 + 5x + -5x Combine like terms: 8x + -5x = 3x 1 + 3x = -14 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + 3x = -14 + 0 1 + 3x = -14 Add '-1' to each side of the equation. 1 + -1 + 3x = -14 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = -14 + -1 3x = -14 + -1 Combine like terms: -14 + -1 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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