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Simplifying 2(x + -2) = 31 + -3x Reorder the terms: 2(-2 + x) = 31 + -3x (-2 * 2 + x * 2) = 31 + -3x (-4 + 2x) = 31 + -3x Solving -4 + 2x = 31 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -4 + 2x + 3x = 31 + -3x + 3x Combine like terms: 2x + 3x = 5x -4 + 5x = 31 + -3x + 3x Combine like terms: -3x + 3x = 0 -4 + 5x = 31 + 0 -4 + 5x = 31 Add '4' to each side of the equation. -4 + 4 + 5x = 31 + 4 Combine like terms: -4 + 4 = 0 0 + 5x = 31 + 4 5x = 31 + 4 Combine like terms: 31 + 4 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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