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Simplifying 5(3x + -1) = 2x + -31 Reorder the terms: 5(-1 + 3x) = 2x + -31 (-1 * 5 + 3x * 5) = 2x + -31 (-5 + 15x) = 2x + -31 Reorder the terms: -5 + 15x = -31 + 2x Solving -5 + 15x = -31 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + 15x + -2x = -31 + 2x + -2x Combine like terms: 15x + -2x = 13x -5 + 13x = -31 + 2x + -2x Combine like terms: 2x + -2x = 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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