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Simplifying 3(2x + -5) = 4(5x + -2) Reorder the terms: 3(-5 + 2x) = 4(5x + -2) (-5 * 3 + 2x * 3) = 4(5x + -2) (-15 + 6x) = 4(5x + -2) Reorder the terms: -15 + 6x = 4(-2 + 5x) -15 + 6x = (-2 * 4 + 5x * 4) -15 + 6x = (-8 + 20x) Solving -15 + 6x = -8 + 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 = -8 + 20x + -20x Combine like terms: 6x + -20x = -14x -15 + -14x = -8 + 20x + -20x Combine like terms: 20x + -20x = 0 -15 + -14x = -8 + 0 -15 + -14x = -8 Add '15' to each side of the equation. -15 + 15 + -14x = -8 + 15 Combine like terms: -15 + 15 = 0 0 + -14x = -8 + 15 -14x = -8 + 15 Combine like terms: -8 + 15 = 7 -14x = 7 Divide each side by '-14'. x = -0.5 Simplifying x = -0.5
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