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Simplifying -5(3x + -1) + x = -31 + -5x Reorder the terms: -5(-1 + 3x) + x = -31 + -5x (-1 * -5 + 3x * -5) + x = -31 + -5x (5 + -15x) + x = -31 + -5x Combine like terms: -15x + x = -14x 5 + -14x = -31 + -5x Solving 5 + -14x = -31 + -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. 5 + -14x + 5x = -31 + -5x + 5x Combine like terms: -14x + 5x = -9x 5 + -9x = -31 + -5x + 5x Combine like terms: -5x + 5x = 0 5 + -9x = -31 + 0 5 + -9x = -31 Add '-5' to each side of the equation. 5 + -5 + -9x = -31 + -5 Combine like terms: 5 + -5 = 0 0 + -9x = -31 + -5 -9x = -31 + -5 Combine like terms: -31 + -5 = -36 -9x = -36 Divide each side by '-9'. x = 4 Simplifying x = 4
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