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Simplifying 3(4x + -5) + 4(x + 2) = 0 Reorder the terms: 3(-5 + 4x) + 4(x + 2) = 0 (-5 * 3 + 4x * 3) + 4(x + 2) = 0 (-15 + 12x) + 4(x + 2) = 0 Reorder the terms: -15 + 12x + 4(2 + x) = 0 -15 + 12x + (2 * 4 + x * 4) = 0 -15 + 12x + (8 + 4x) = 0 Reorder the terms: -15 + 8 + 12x + 4x = 0 Combine like terms: -15 + 8 = -7 -7 + 12x + 4x = 0 Combine like terms: 12x + 4x = 16x -7 + 16x = 0 Solving -7 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 16x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 16x = 0 + 7 16x = 0 + 7 Combine like terms: 0 + 7 = 7 16x = 7 Divide each side by '16'. x = 0.4375 Simplifying x = 0.4375
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