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Simplifying 3(4x + -5) = 5(x + 3) + -6 Reorder the terms: 3(-5 + 4x) = 5(x + 3) + -6 (-5 * 3 + 4x * 3) = 5(x + 3) + -6 (-15 + 12x) = 5(x + 3) + -6 Reorder the terms: -15 + 12x = 5(3 + x) + -6 -15 + 12x = (3 * 5 + x * 5) + -6 -15 + 12x = (15 + 5x) + -6 Reorder the terms: -15 + 12x = 15 + -6 + 5x Combine like terms: 15 + -6 = 9 -15 + 12x = 9 + 5x Solving -15 + 12x = 9 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -15 + 12x + -5x = 9 + 5x + -5x Combine like terms: 12x + -5x = 7x -15 + 7x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 -15 + 7x = 9 + 0 -15 + 7x = 9 Add '15' to each side of the equation. -15 + 15 + 7x = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 7x = 9 + 15 7x = 9 + 15 Combine like terms: 9 + 15 = 24 7x = 24 Divide each side by '7'. x = 3.428571429 Simplifying x = 3.428571429
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