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Simplifying 9(x + -3) = -2x + 83 Reorder the terms: 9(-3 + x) = -2x + 83 (-3 * 9 + x * 9) = -2x + 83 (-27 + 9x) = -2x + 83 Reorder the terms: -27 + 9x = 83 + -2x Solving -27 + 9x = 83 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -27 + 9x + 2x = 83 + -2x + 2x Combine like terms: 9x + 2x = 11x -27 + 11x = 83 + -2x + 2x Combine like terms: -2x + 2x = 0 -27 + 11x = 83 + 0 -27 + 11x = 83 Add '27' to each side of the equation. -27 + 27 + 11x = 83 + 27 Combine like terms: -27 + 27 = 0 0 + 11x = 83 + 27 11x = 83 + 27 Combine like terms: 83 + 27 = 110 11x = 110 Divide each side by '11'. x = 10 Simplifying x = 10
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