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Simplifying -31 = 3(x + -7) + -5x Reorder the terms: -31 = 3(-7 + x) + -5x -31 = (-7 * 3 + x * 3) + -5x -31 = (-21 + 3x) + -5x Combine like terms: 3x + -5x = -2x -31 = -21 + -2x Solving -31 = -21 + -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. -31 + 2x = -21 + -2x + 2x Combine like terms: -2x + 2x = 0 -31 + 2x = -21 + 0 -31 + 2x = -21 Add '31' to each side of the equation. -31 + 31 + 2x = -21 + 31 Combine like terms: -31 + 31 = 0 0 + 2x = -21 + 31 2x = -21 + 31 Combine like terms: -21 + 31 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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