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Simplifying 3(2x + -5) = 5(4x + -17) Reorder the terms: 3(-5 + 2x) = 5(4x + -17) (-5 * 3 + 2x * 3) = 5(4x + -17) (-15 + 6x) = 5(4x + -17) Reorder the terms: -15 + 6x = 5(-17 + 4x) -15 + 6x = (-17 * 5 + 4x * 5) -15 + 6x = (-85 + 20x) Solving -15 + 6x = -85 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -15 + 6x + -20x = -85 + 20x + -20x Combine like terms: 6x + -20x = -14x -15 + -14x = -85 + 20x + -20x Combine like terms: 20x + -20x = 0 -15 + -14x = -85 + 0 -15 + -14x = -85 Add '15' to each side of the equation. -15 + 15 + -14x = -85 + 15 Combine like terms: -15 + 15 = 0 0 + -14x = -85 + 15 -14x = -85 + 15 Combine like terms: -85 + 15 = -70 -14x = -70 Divide each side by '-14'. x = 5 Simplifying x = 5
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