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Simplifying 4(3x + -5) + 6(4x + 3) = 16 Reorder the terms: 4(-5 + 3x) + 6(4x + 3) = 16 (-5 * 4 + 3x * 4) + 6(4x + 3) = 16 (-20 + 12x) + 6(4x + 3) = 16 Reorder the terms: -20 + 12x + 6(3 + 4x) = 16 -20 + 12x + (3 * 6 + 4x * 6) = 16 -20 + 12x + (18 + 24x) = 16 Reorder the terms: -20 + 18 + 12x + 24x = 16 Combine like terms: -20 + 18 = -2 -2 + 12x + 24x = 16 Combine like terms: 12x + 24x = 36x -2 + 36x = 16 Solving -2 + 36x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 36x = 16 + 2 Combine like terms: -2 + 2 = 0 0 + 36x = 16 + 2 36x = 16 + 2 Combine like terms: 16 + 2 = 18 36x = 18 Divide each side by '36'. x = 0.5 Simplifying x = 0.5
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