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Simplifying 5 + -3(7x + -2) = 9(x + -1) Reorder the terms: 5 + -3(-2 + 7x) = 9(x + -1) 5 + (-2 * -3 + 7x * -3) = 9(x + -1) 5 + (6 + -21x) = 9(x + -1) Combine like terms: 5 + 6 = 11 11 + -21x = 9(x + -1) Reorder the terms: 11 + -21x = 9(-1 + x) 11 + -21x = (-1 * 9 + x * 9) 11 + -21x = (-9 + 9x) Solving 11 + -21x = -9 + 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. 11 + -21x + -9x = -9 + 9x + -9x Combine like terms: -21x + -9x = -30x 11 + -30x = -9 + 9x + -9x Combine like terms: 9x + -9x = 0 11 + -30x = -9 + 0 11 + -30x = -9 Add '-11' to each side of the equation. 11 + -11 + -30x = -9 + -11 Combine like terms: 11 + -11 = 0 0 + -30x = -9 + -11 -30x = -9 + -11 Combine like terms: -9 + -11 = -20 -30x = -20 Divide each side by '-30'. x = 0.6666666667 Simplifying x = 0.6666666667
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