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Simplifying 8(x + -7) = 4x + -32 Reorder the terms: 8(-7 + x) = 4x + -32 (-7 * 8 + x * 8) = 4x + -32 (-56 + 8x) = 4x + -32 Reorder the terms: -56 + 8x = -32 + 4x Solving -56 + 8x = -32 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -56 + 8x + -4x = -32 + 4x + -4x Combine like terms: 8x + -4x = 4x -56 + 4x = -32 + 4x + -4x Combine like terms: 4x + -4x = 0 -56 + 4x = -32 + 0 -56 + 4x = -32 Add '56' to each side of the equation. -56 + 56 + 4x = -32 + 56 Combine like terms: -56 + 56 = 0 0 + 4x = -32 + 56 4x = -32 + 56 Combine like terms: -32 + 56 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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