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Simplifying -7x + -31 = 5(x + 7) Reorder the terms: -31 + -7x = 5(x + 7) Reorder the terms: -31 + -7x = 5(7 + x) -31 + -7x = (7 * 5 + x * 5) -31 + -7x = (35 + 5x) Solving -31 + -7x = 35 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -31 + -7x + -5x = 35 + 5x + -5x Combine like terms: -7x + -5x = -12x -31 + -12x = 35 + 5x + -5x Combine like terms: 5x + -5x = 0 -31 + -12x = 35 + 0 -31 + -12x = 35 Add '31' to each side of the equation. -31 + 31 + -12x = 35 + 31 Combine like terms: -31 + 31 = 0 0 + -12x = 35 + 31 -12x = 35 + 31 Combine like terms: 35 + 31 = 66 -12x = 66 Divide each side by '-12'. x = -5.5 Simplifying x = -5.5
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