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Simplifying -31 = 2(3 + -1x) + -7(x + 4) -31 = (3 * 2 + -1x * 2) + -7(x + 4) -31 = (6 + -2x) + -7(x + 4) Reorder the terms: -31 = 6 + -2x + -7(4 + x) -31 = 6 + -2x + (4 * -7 + x * -7) -31 = 6 + -2x + (-28 + -7x) Reorder the terms: -31 = 6 + -28 + -2x + -7x Combine like terms: 6 + -28 = -22 -31 = -22 + -2x + -7x Combine like terms: -2x + -7x = -9x -31 = -22 + -9x Solving -31 = -22 + -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 = -22 + -9x + 9x Combine like terms: -9x + 9x = 0 -31 + 9x = -22 + 0 -31 + 9x = -22 Add '31' to each side of the equation. -31 + 31 + 9x = -22 + 31 Combine like terms: -31 + 31 = 0 0 + 9x = -22 + 31 9x = -22 + 31 Combine like terms: -22 + 31 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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