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Simplifying -1(x + 6) + -31(x + 4) = -162 Reorder the terms: -1(6 + x) + -31(x + 4) = -162 (6 * -1 + x * -1) + -31(x + 4) = -162 (-6 + -1x) + -31(x + 4) = -162 Reorder the terms: -6 + -1x + -31(4 + x) = -162 -6 + -1x + (4 * -31 + x * -31) = -162 -6 + -1x + (-124 + -31x) = -162 Reorder the terms: -6 + -124 + -1x + -31x = -162 Combine like terms: -6 + -124 = -130 -130 + -1x + -31x = -162 Combine like terms: -1x + -31x = -32x -130 + -32x = -162 Solving -130 + -32x = -162 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '130' to each side of the equation. -130 + 130 + -32x = -162 + 130 Combine like terms: -130 + 130 = 0 0 + -32x = -162 + 130 -32x = -162 + 130 Combine like terms: -162 + 130 = -32 -32x = -32 Divide each side by '-32'. x = 1 Simplifying x = 1
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