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Simplifying -4(7 + 3x) = -32 + -8x (7 * -4 + 3x * -4) = -32 + -8x (-28 + -12x) = -32 + -8x Solving -28 + -12x = -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 + -12x + 8x = -32 + -8x + 8x Combine like terms: -12x + 8x = -4x -28 + -4x = -32 + -8x + 8x Combine like terms: -8x + 8x = 0 -28 + -4x = -32 + 0 -28 + -4x = -32 Add '28' to each side of the equation. -28 + 28 + -4x = -32 + 28 Combine like terms: -28 + 28 = 0 0 + -4x = -32 + 28 -4x = -32 + 28 Combine like terms: -32 + 28 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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