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Simplifying 4(3x + -5) + 4(x + 2) = 20 Reorder the terms: 4(-5 + 3x) + 4(x + 2) = 20 (-5 * 4 + 3x * 4) + 4(x + 2) = 20 (-20 + 12x) + 4(x + 2) = 20 Reorder the terms: -20 + 12x + 4(2 + x) = 20 -20 + 12x + (2 * 4 + x * 4) = 20 -20 + 12x + (8 + 4x) = 20 Reorder the terms: -20 + 8 + 12x + 4x = 20 Combine like terms: -20 + 8 = -12 -12 + 12x + 4x = 20 Combine like terms: 12x + 4x = 16x -12 + 16x = 20 Solving -12 + 16x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 16x = 20 + 12 Combine like terms: -12 + 12 = 0 0 + 16x = 20 + 12 16x = 20 + 12 Combine like terms: 20 + 12 = 32 16x = 32 Divide each side by '16'. x = 2 Simplifying x = 2
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