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Simplifying 2(x + -5) + 1 = -3x + 31 Reorder the terms: 2(-5 + x) + 1 = -3x + 31 (-5 * 2 + x * 2) + 1 = -3x + 31 (-10 + 2x) + 1 = -3x + 31 Reorder the terms: -10 + 1 + 2x = -3x + 31 Combine like terms: -10 + 1 = -9 -9 + 2x = -3x + 31 Reorder the terms: -9 + 2x = 31 + -3x Solving -9 + 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. -9 + 2x + 3x = 31 + -3x + 3x Combine like terms: 2x + 3x = 5x -9 + 5x = 31 + -3x + 3x Combine like terms: -3x + 3x = 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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