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Simplifying 21x + 45 = 11 + -1(x + 9) Reorder the terms: 45 + 21x = 11 + -1(x + 9) Reorder the terms: 45 + 21x = 11 + -1(9 + x) 45 + 21x = 11 + (9 * -1 + x * -1) 45 + 21x = 11 + (-9 + -1x) Combine like terms: 11 + -9 = 2 45 + 21x = 2 + -1x Solving 45 + 21x = 2 + -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. 45 + 21x + x = 2 + -1x + x Combine like terms: 21x + x = 22x 45 + 22x = 2 + -1x + x Combine like terms: -1x + x = 0 45 + 22x = 2 + 0 45 + 22x = 2 Add '-45' to each side of the equation. 45 + -45 + 22x = 2 + -45 Combine like terms: 45 + -45 = 0 0 + 22x = 2 + -45 22x = 2 + -45 Combine like terms: 2 + -45 = -43 22x = -43 Divide each side by '22'. x = -1.954545455 Simplifying x = -1.954545455
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