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Simplifying 4(x + -7) = -8x + 32 Reorder the terms: 4(-7 + x) = -8x + 32 (-7 * 4 + x * 4) = -8x + 32 (-28 + 4x) = -8x + 32 Reorder the terms: -28 + 4x = 32 + -8x Solving -28 + 4x = 32 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -28 + 4x + 8x = 32 + -8x + 8x Combine like terms: 4x + 8x = 12x -28 + 12x = 32 + -8x + 8x Combine like terms: -8x + 8x = 0 -28 + 12x = 32 + 0 -28 + 12x = 32 Add '28' to each side of the equation. -28 + 28 + 12x = 32 + 28 Combine like terms: -28 + 28 = 0 0 + 12x = 32 + 28 12x = 32 + 28 Combine like terms: 32 + 28 = 60 12x = 60 Divide each side by '12'. x = 5 Simplifying x = 5
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