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Simplifying 4(3x + -4) = 6x + 32 Reorder the terms: 4(-4 + 3x) = 6x + 32 (-4 * 4 + 3x * 4) = 6x + 32 (-16 + 12x) = 6x + 32 Reorder the terms: -16 + 12x = 32 + 6x Solving -16 + 12x = 32 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -16 + 12x + -6x = 32 + 6x + -6x Combine like terms: 12x + -6x = 6x -16 + 6x = 32 + 6x + -6x Combine like terms: 6x + -6x = 0 -16 + 6x = 32 + 0 -16 + 6x = 32 Add '16' to each side of the equation. -16 + 16 + 6x = 32 + 16 Combine like terms: -16 + 16 = 0 0 + 6x = 32 + 16 6x = 32 + 16 Combine like terms: 32 + 16 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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