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Simplifying 3(4x + -5) = 13 + -2x Reorder the terms: 3(-5 + 4x) = 13 + -2x (-5 * 3 + 4x * 3) = 13 + -2x (-15 + 12x) = 13 + -2x Solving -15 + 12x = 13 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -15 + 12x + 2x = 13 + -2x + 2x Combine like terms: 12x + 2x = 14x -15 + 14x = 13 + -2x + 2x Combine like terms: -2x + 2x = 0 -15 + 14x = 13 + 0 -15 + 14x = 13 Add '15' to each side of the equation. -15 + 15 + 14x = 13 + 15 Combine like terms: -15 + 15 = 0 0 + 14x = 13 + 15 14x = 13 + 15 Combine like terms: 13 + 15 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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