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Simplifying 5x + -1(4x + 5) = 3x + -31 Reorder the terms: 5x + -1(5 + 4x) = 3x + -31 5x + (5 * -1 + 4x * -1) = 3x + -31 5x + (-5 + -4x) = 3x + -31 Reorder the terms: -5 + 5x + -4x = 3x + -31 Combine like terms: 5x + -4x = 1x -5 + 1x = 3x + -31 Reorder the terms: -5 + 1x = -31 + 3x Solving -5 + 1x = -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. -5 + 1x + -3x = -31 + 3x + -3x Combine like terms: 1x + -3x = -2x -5 + -2x = -31 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + -2x = -31 + 0 -5 + -2x = -31 Add '5' to each side of the equation. -5 + 5 + -2x = -31 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = -31 + 5 -2x = -31 + 5 Combine like terms: -31 + 5 = -26 -2x = -26 Divide each side by '-2'. x = 13 Simplifying x = 13
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