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Simplifying 19 = 10 + 9(x + -1) Reorder the terms: 19 = 10 + 9(-1 + x) 19 = 10 + (-1 * 9 + x * 9) 19 = 10 + (-9 + 9x) Combine like terms: 10 + -9 = 1 19 = 1 + 9x Solving 19 = 1 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 19 + -9x = 1 + 9x + -9x Combine like terms: 9x + -9x = 0 19 + -9x = 1 + 0 19 + -9x = 1 Add '-19' to each side of the equation. 19 + -19 + -9x = 1 + -19 Combine like terms: 19 + -19 = 0 0 + -9x = 1 + -19 -9x = 1 + -19 Combine like terms: 1 + -19 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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