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Simplifying 4(3x + -4) + 8 = 4x + 32 Reorder the terms: 4(-4 + 3x) + 8 = 4x + 32 (-4 * 4 + 3x * 4) + 8 = 4x + 32 (-16 + 12x) + 8 = 4x + 32 Reorder the terms: -16 + 8 + 12x = 4x + 32 Combine like terms: -16 + 8 = -8 -8 + 12x = 4x + 32 Reorder the terms: -8 + 12x = 32 + 4x Solving -8 + 12x = 32 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -8 + 12x + -4x = 32 + 4x + -4x Combine like terms: 12x + -4x = 8x -8 + 8x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + 8x = 32 + 0 -8 + 8x = 32 Add '8' to each side of the equation. -8 + 8 + 8x = 32 + 8 Combine like terms: -8 + 8 = 0 0 + 8x = 32 + 8 8x = 32 + 8 Combine like terms: 32 + 8 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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