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Simplifying 5(4x + -2) = 5x + 10 Reorder the terms: 5(-2 + 4x) = 5x + 10 (-2 * 5 + 4x * 5) = 5x + 10 (-10 + 20x) = 5x + 10 Reorder the terms: -10 + 20x = 10 + 5x Solving -10 + 20x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -10 + 20x + -5x = 10 + 5x + -5x Combine like terms: 20x + -5x = 15x -10 + 15x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + 15x = 10 + 0 -10 + 15x = 10 Add '10' to each side of the equation. -10 + 10 + 15x = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 15x = 10 + 10 15x = 10 + 10 Combine like terms: 10 + 10 = 20 15x = 20 Divide each side by '15'. x = 1.333333333 Simplifying x = 1.333333333
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