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Simplifying 2x + 3(4x + -5) = -6x + 45 Reorder the terms: 2x + 3(-5 + 4x) = -6x + 45 2x + (-5 * 3 + 4x * 3) = -6x + 45 2x + (-15 + 12x) = -6x + 45 Reorder the terms: -15 + 2x + 12x = -6x + 45 Combine like terms: 2x + 12x = 14x -15 + 14x = -6x + 45 Reorder the terms: -15 + 14x = 45 + -6x Solving -15 + 14x = 45 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -15 + 14x + 6x = 45 + -6x + 6x Combine like terms: 14x + 6x = 20x -15 + 20x = 45 + -6x + 6x Combine like terms: -6x + 6x = 0 -15 + 20x = 45 + 0 -15 + 20x = 45 Add '15' to each side of the equation. -15 + 15 + 20x = 45 + 15 Combine like terms: -15 + 15 = 0 0 + 20x = 45 + 15 20x = 45 + 15 Combine like terms: 45 + 15 = 60 20x = 60 Divide each side by '20'. x = 3 Simplifying x = 3
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