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Simplifying 3(4x + -5) + (2x + 6) = 0 Reorder the terms: 3(-5 + 4x) + (2x + 6) = 0 (-5 * 3 + 4x * 3) + (2x + 6) = 0 (-15 + 12x) + (2x + 6) = 0 Reorder the terms: -15 + 12x + (6 + 2x) = 0 Remove parenthesis around (6 + 2x) -15 + 12x + 6 + 2x = 0 Reorder the terms: -15 + 6 + 12x + 2x = 0 Combine like terms: -15 + 6 = -9 -9 + 12x + 2x = 0 Combine like terms: 12x + 2x = 14x -9 + 14x = 0 Solving -9 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 14x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 14x = 0 + 9 14x = 0 + 9 Combine like terms: 0 + 9 = 9 14x = 9 Divide each side by '14'. x = 0.6428571429 Simplifying x = 0.6428571429
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