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Simplifying 7(x + 1) = 9 + -1x Reorder the terms: 7(1 + x) = 9 + -1x (1 * 7 + x * 7) = 9 + -1x (7 + 7x) = 9 + -1x Solving 7 + 7x = 9 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 7 + 7x + x = 9 + -1x + x Combine like terms: 7x + x = 8x 7 + 8x = 9 + -1x + x Combine like terms: -1x + x = 0 7 + 8x = 9 + 0 7 + 8x = 9 Add '-7' to each side of the equation. 7 + -7 + 8x = 9 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = 9 + -7 8x = 9 + -7 Combine like terms: 9 + -7 = 2 8x = 2 Divide each side by '8'. x = 0.25 Simplifying x = 0.25
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