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Simplifying 5(2x + -4) = 4x + 10 Reorder the terms: 5(-4 + 2x) = 4x + 10 (-4 * 5 + 2x * 5) = 4x + 10 (-20 + 10x) = 4x + 10 Reorder the terms: -20 + 10x = 10 + 4x Solving -20 + 10x = 10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -20 + 10x + -4x = 10 + 4x + -4x Combine like terms: 10x + -4x = 6x -20 + 6x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 -20 + 6x = 10 + 0 -20 + 6x = 10 Add '20' to each side of the equation. -20 + 20 + 6x = 10 + 20 Combine like terms: -20 + 20 = 0 0 + 6x = 10 + 20 6x = 10 + 20 Combine like terms: 10 + 20 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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