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Simplifying 2x + -1(8x + 5) = 7x + -31 Reorder the terms: 2x + -1(5 + 8x) = 7x + -31 2x + (5 * -1 + 8x * -1) = 7x + -31 2x + (-5 + -8x) = 7x + -31 Reorder the terms: -5 + 2x + -8x = 7x + -31 Combine like terms: 2x + -8x = -6x -5 + -6x = 7x + -31 Reorder the terms: -5 + -6x = -31 + 7x Solving -5 + -6x = -31 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -5 + -6x + -7x = -31 + 7x + -7x Combine like terms: -6x + -7x = -13x -5 + -13x = -31 + 7x + -7x Combine like terms: 7x + -7x = 0 -5 + -13x = -31 + 0 -5 + -13x = -31 Add '5' to each side of the equation. -5 + 5 + -13x = -31 + 5 Combine like terms: -5 + 5 = 0 0 + -13x = -31 + 5 -13x = -31 + 5 Combine like terms: -31 + 5 = -26 -13x = -26 Divide each side by '-13'. x = 2 Simplifying x = 2
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