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Simplifying -3(8 + 4x) + 3x = 7x + -32 (8 * -3 + 4x * -3) + 3x = 7x + -32 (-24 + -12x) + 3x = 7x + -32 Combine like terms: -12x + 3x = -9x -24 + -9x = 7x + -32 Reorder the terms: -24 + -9x = -32 + 7x Solving -24 + -9x = -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 + -9x + -7x = -32 + 7x + -7x Combine like terms: -9x + -7x = -16x -24 + -16x = -32 + 7x + -7x Combine like terms: 7x + -7x = 0 -24 + -16x = -32 + 0 -24 + -16x = -32 Add '24' to each side of the equation. -24 + 24 + -16x = -32 + 24 Combine like terms: -24 + 24 = 0 0 + -16x = -32 + 24 -16x = -32 + 24 Combine like terms: -32 + 24 = -8 -16x = -8 Divide each side by '-16'. x = 0.5 Simplifying x = 0.5
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