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Simplifying 32 + 3x = 4(2x + -8) Reorder the terms: 32 + 3x = 4(-8 + 2x) 32 + 3x = (-8 * 4 + 2x * 4) 32 + 3x = (-32 + 8x) Solving 32 + 3x = -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. 32 + 3x + -8x = -32 + 8x + -8x Combine like terms: 3x + -8x = -5x 32 + -5x = -32 + 8x + -8x Combine like terms: 8x + -8x = 0 32 + -5x = -32 + 0 32 + -5x = -32 Add '-32' to each side of the equation. 32 + -32 + -5x = -32 + -32 Combine like terms: 32 + -32 = 0 0 + -5x = -32 + -32 -5x = -32 + -32 Combine like terms: -32 + -32 = -64 -5x = -64 Divide each side by '-5'. x = 12.8 Simplifying x = 12.8
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