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