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Simplifying 5x + -1(3x + 5) = 4x + 31 Reorder the terms: 5x + -1(5 + 3x) = 4x + 31 5x + (5 * -1 + 3x * -1) = 4x + 31 5x + (-5 + -3x) = 4x + 31 Reorder the terms: -5 + 5x + -3x = 4x + 31 Combine like terms: 5x + -3x = 2x -5 + 2x = 4x + 31 Reorder the terms: -5 + 2x = 31 + 4x Solving -5 + 2x = 31 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -5 + 2x + -4x = 31 + 4x + -4x Combine like terms: 2x + -4x = -2x -5 + -2x = 31 + 4x + -4x Combine like terms: 4x + -4x = 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 = 36 -2x = 36 Divide each side by '-2'. x = -18 Simplifying x = -18
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