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Simplifying 5(4x + -2) + -2(3x + -10) = 0 Reorder the terms: 5(-2 + 4x) + -2(3x + -10) = 0 (-2 * 5 + 4x * 5) + -2(3x + -10) = 0 (-10 + 20x) + -2(3x + -10) = 0 Reorder the terms: -10 + 20x + -2(-10 + 3x) = 0 -10 + 20x + (-10 * -2 + 3x * -2) = 0 -10 + 20x + (20 + -6x) = 0 Reorder the terms: -10 + 20 + 20x + -6x = 0 Combine like terms: -10 + 20 = 10 10 + 20x + -6x = 0 Combine like terms: 20x + -6x = 14x 10 + 14x = 0 Solving 10 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 14x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 14x = 0 + -10 14x = 0 + -10 Combine like terms: 0 + -10 = -10 14x = -10 Divide each side by '14'. x = -0.7142857143 Simplifying x = -0.7142857143
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