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Simplifying 226(x + 1) = 28(x + 1) + -22 Reorder the terms: 226(1 + x) = 28(x + 1) + -22 (1 * 226 + x * 226) = 28(x + 1) + -22 (226 + 226x) = 28(x + 1) + -22 Reorder the terms: 226 + 226x = 28(1 + x) + -22 226 + 226x = (1 * 28 + x * 28) + -22 226 + 226x = (28 + 28x) + -22 Reorder the terms: 226 + 226x = 28 + -22 + 28x Combine like terms: 28 + -22 = 6 226 + 226x = 6 + 28x Solving 226 + 226x = 6 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 226 + 226x + -28x = 6 + 28x + -28x Combine like terms: 226x + -28x = 198x 226 + 198x = 6 + 28x + -28x Combine like terms: 28x + -28x = 0 226 + 198x = 6 + 0 226 + 198x = 6 Add '-226' to each side of the equation. 226 + -226 + 198x = 6 + -226 Combine like terms: 226 + -226 = 0 0 + 198x = 6 + -226 198x = 6 + -226 Combine like terms: 6 + -226 = -220 198x = -220 Divide each side by '198'. x = -1.111111111 Simplifying x = -1.111111111
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