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Simplifying 30 + 29(x + -1) = 37 + 27(x + -1) Reorder the terms: 30 + 29(-1 + x) = 37 + 27(x + -1) 30 + (-1 * 29 + x * 29) = 37 + 27(x + -1) 30 + (-29 + 29x) = 37 + 27(x + -1) Combine like terms: 30 + -29 = 1 1 + 29x = 37 + 27(x + -1) Reorder the terms: 1 + 29x = 37 + 27(-1 + x) 1 + 29x = 37 + (-1 * 27 + x * 27) 1 + 29x = 37 + (-27 + 27x) Combine like terms: 37 + -27 = 10 1 + 29x = 10 + 27x Solving 1 + 29x = 10 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 1 + 29x + -27x = 10 + 27x + -27x Combine like terms: 29x + -27x = 2x 1 + 2x = 10 + 27x + -27x Combine like terms: 27x + -27x = 0 1 + 2x = 10 + 0 1 + 2x = 10 Add '-1' to each side of the equation. 1 + -1 + 2x = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 10 + -1 2x = 10 + -1 Combine like terms: 10 + -1 = 9 2x = 9 Divide each side by '2'. x = 4.5 Simplifying x = 4.5
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