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Simplifying 4(4x + -6) = 4x + 36 Reorder the terms: 4(-6 + 4x) = 4x + 36 (-6 * 4 + 4x * 4) = 4x + 36 (-24 + 16x) = 4x + 36 Reorder the terms: -24 + 16x = 36 + 4x Solving -24 + 16x = 36 + 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. -24 + 16x + -4x = 36 + 4x + -4x Combine like terms: 16x + -4x = 12x -24 + 12x = 36 + 4x + -4x Combine like terms: 4x + -4x = 0 -24 + 12x = 36 + 0 -24 + 12x = 36 Add '24' to each side of the equation. -24 + 24 + 12x = 36 + 24 Combine like terms: -24 + 24 = 0 0 + 12x = 36 + 24 12x = 36 + 24 Combine like terms: 36 + 24 = 60 12x = 60 Divide each side by '12'. x = 5 Simplifying x = 5
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