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Simplifying 3(x + -8) = 7x + -32 Reorder the terms: 3(-8 + x) = 7x + -32 (-8 * 3 + x * 3) = 7x + -32 (-24 + 3x) = 7x + -32 Reorder the terms: -24 + 3x = -32 + 7x Solving -24 + 3x = -32 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -24 + 3x + -7x = -32 + 7x + -7x Combine like terms: 3x + -7x = -4x -24 + -4x = -32 + 7x + -7x Combine like terms: 7x + -7x = 0 -24 + -4x = -32 + 0 -24 + -4x = -32 Add '24' to each side of the equation. -24 + 24 + -4x = -32 + 24 Combine like terms: -24 + 24 = 0 0 + -4x = -32 + 24 -4x = -32 + 24 Combine like terms: -32 + 24 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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