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Simplifying 5(x + -3) + -5(4x + -2) = 0 Reorder the terms: 5(-3 + x) + -5(4x + -2) = 0 (-3 * 5 + x * 5) + -5(4x + -2) = 0 (-15 + 5x) + -5(4x + -2) = 0 Reorder the terms: -15 + 5x + -5(-2 + 4x) = 0 -15 + 5x + (-2 * -5 + 4x * -5) = 0 -15 + 5x + (10 + -20x) = 0 Reorder the terms: -15 + 10 + 5x + -20x = 0 Combine like terms: -15 + 10 = -5 -5 + 5x + -20x = 0 Combine like terms: 5x + -20x = -15x -5 + -15x = 0 Solving -5 + -15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -15x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -15x = 0 + 5 -15x = 0 + 5 Combine like terms: 0 + 5 = 5 -15x = 5 Divide each side by '-15'. x = -0.3333333333 Simplifying x = -0.3333333333
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