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Simplifying 1 + -2(x + 2) = -9x + -31 Reorder the terms: 1 + -2(2 + x) = -9x + -31 1 + (2 * -2 + x * -2) = -9x + -31 1 + (-4 + -2x) = -9x + -31 Combine like terms: 1 + -4 = -3 -3 + -2x = -9x + -31 Reorder the terms: -3 + -2x = -31 + -9x Solving -3 + -2x = -31 + -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. -3 + -2x + 9x = -31 + -9x + 9x Combine like terms: -2x + 9x = 7x -3 + 7x = -31 + -9x + 9x Combine like terms: -9x + 9x = 0 -3 + 7x = -31 + 0 -3 + 7x = -31 Add '3' to each side of the equation. -3 + 3 + 7x = -31 + 3 Combine like terms: -3 + 3 = 0 0 + 7x = -31 + 3 7x = -31 + 3 Combine like terms: -31 + 3 = -28 7x = -28 Divide each side by '7'. x = -4 Simplifying x = -4
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