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