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Simplifying 8x + 14 = 7(1 + x) Reorder the terms: 14 + 8x = 7(1 + x) 14 + 8x = (1 * 7 + x * 7) 14 + 8x = (7 + 7x) Solving 14 + 8x = 7 + 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 + 8x + -7x = 7 + 7x + -7x Combine like terms: 8x + -7x = 1x 14 + 1x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 14 + 1x = 7 + 0 14 + 1x = 7 Add '-14' to each side of the equation. 14 + -14 + 1x = 7 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = 7 + -14 1x = 7 + -14 Combine like terms: 7 + -14 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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