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Simplifying 3(x + -3) = -2x + 31 Reorder the terms: 3(-3 + x) = -2x + 31 (-3 * 3 + x * 3) = -2x + 31 (-9 + 3x) = -2x + 31 Reorder the terms: -9 + 3x = 31 + -2x Solving -9 + 3x = 31 + -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. -9 + 3x + 2x = 31 + -2x + 2x Combine like terms: 3x + 2x = 5x -9 + 5x = 31 + -2x + 2x Combine like terms: -2x + 2x = 0 -9 + 5x = 31 + 0 -9 + 5x = 31 Add '9' to each side of the equation. -9 + 9 + 5x = 31 + 9 Combine like terms: -9 + 9 = 0 0 + 5x = 31 + 9 5x = 31 + 9 Combine like terms: 31 + 9 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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