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Simplifying -31 + 2x = -5(4x + -7) Reorder the terms: -31 + 2x = -5(-7 + 4x) -31 + 2x = (-7 * -5 + 4x * -5) -31 + 2x = (35 + -20x) Solving -31 + 2x = 35 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -31 + 2x + 20x = 35 + -20x + 20x Combine like terms: 2x + 20x = 22x -31 + 22x = 35 + -20x + 20x Combine like terms: -20x + 20x = 0 -31 + 22x = 35 + 0 -31 + 22x = 35 Add '31' to each side of the equation. -31 + 31 + 22x = 35 + 31 Combine like terms: -31 + 31 = 0 0 + 22x = 35 + 31 22x = 35 + 31 Combine like terms: 35 + 31 = 66 22x = 66 Divide each side by '22'. x = 3 Simplifying x = 3
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