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Simplifying -4(x + 8) = -3x + -31 Reorder the terms: -4(8 + x) = -3x + -31 (8 * -4 + x * -4) = -3x + -31 (-32 + -4x) = -3x + -31 Reorder the terms: -32 + -4x = -31 + -3x Solving -32 + -4x = -31 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -32 + -4x + 3x = -31 + -3x + 3x Combine like terms: -4x + 3x = -1x -32 + -1x = -31 + -3x + 3x Combine like terms: -3x + 3x = 0 -32 + -1x = -31 + 0 -32 + -1x = -31 Add '32' to each side of the equation. -32 + 32 + -1x = -31 + 32 Combine like terms: -32 + 32 = 0 0 + -1x = -31 + 32 -1x = -31 + 32 Combine like terms: -31 + 32 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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