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Simplifying -4x + 31 = 3(1 + -3x) + -2 Reorder the terms: 31 + -4x = 3(1 + -3x) + -2 31 + -4x = (1 * 3 + -3x * 3) + -2 31 + -4x = (3 + -9x) + -2 Reorder the terms: 31 + -4x = 3 + -2 + -9x Combine like terms: 3 + -2 = 1 31 + -4x = 1 + -9x Solving 31 + -4x = 1 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 31 + -4x + 9x = 1 + -9x + 9x Combine like terms: -4x + 9x = 5x 31 + 5x = 1 + -9x + 9x Combine like terms: -9x + 9x = 0 31 + 5x = 1 + 0 31 + 5x = 1 Add '-31' to each side of the equation. 31 + -31 + 5x = 1 + -31 Combine like terms: 31 + -31 = 0 0 + 5x = 1 + -31 5x = 1 + -31 Combine like terms: 1 + -31 = -30 5x = -30 Divide each side by '5'. x = -6 Simplifying x = -6
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