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Simplifying 3(x + -3) + 2(x + 1) = 31 Reorder the terms: 3(-3 + x) + 2(x + 1) = 31 (-3 * 3 + x * 3) + 2(x + 1) = 31 (-9 + 3x) + 2(x + 1) = 31 Reorder the terms: -9 + 3x + 2(1 + x) = 31 -9 + 3x + (1 * 2 + x * 2) = 31 -9 + 3x + (2 + 2x) = 31 Reorder the terms: -9 + 2 + 3x + 2x = 31 Combine like terms: -9 + 2 = -7 -7 + 3x + 2x = 31 Combine like terms: 3x + 2x = 5x -7 + 5x = 31 Solving -7 + 5x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 5x = 31 + 7 Combine like terms: -7 + 7 = 0 0 + 5x = 31 + 7 5x = 31 + 7 Combine like terms: 31 + 7 = 38 5x = 38 Divide each side by '5'. x = 7.6 Simplifying x = 7.6
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