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Simplifying -31 = -1 + -3(1 + 3x) -31 = -1 + (1 * -3 + 3x * -3) -31 = -1 + (-3 + -9x) Combine like terms: -1 + -3 = -4 -31 = -4 + -9x Solving -31 = -4 + -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 + 9x = -4 + -9x + 9x Combine like terms: -9x + 9x = 0 -31 + 9x = -4 + 0 -31 + 9x = -4 Add '31' to each side of the equation. -31 + 31 + 9x = -4 + 31 Combine like terms: -31 + 31 = 0 0 + 9x = -4 + 31 9x = -4 + 31 Combine like terms: -4 + 31 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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