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Simplifying 2 + 8(x + 1) = 9 + 7x Reorder the terms: 2 + 8(1 + x) = 9 + 7x 2 + (1 * 8 + x * 8) = 9 + 7x 2 + (8 + 8x) = 9 + 7x Combine like terms: 2 + 8 = 10 10 + 8x = 9 + 7x Solving 10 + 8x = 9 + 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. 10 + 8x + -7x = 9 + 7x + -7x Combine like terms: 8x + -7x = 1x 10 + 1x = 9 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + 1x = 9 + 0 10 + 1x = 9 Add '-10' to each side of the equation. 10 + -10 + 1x = 9 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 9 + -10 1x = 9 + -10 Combine like terms: 9 + -10 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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