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Simplifying 10(x + -5) = 5(x + 4) Reorder the terms: 10(-5 + x) = 5(x + 4) (-5 * 10 + x * 10) = 5(x + 4) (-50 + 10x) = 5(x + 4) Reorder the terms: -50 + 10x = 5(4 + x) -50 + 10x = (4 * 5 + x * 5) -50 + 10x = (20 + 5x) Solving -50 + 10x = 20 + 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. -50 + 10x + -5x = 20 + 5x + -5x Combine like terms: 10x + -5x = 5x -50 + 5x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 -50 + 5x = 20 + 0 -50 + 5x = 20 Add '50' to each side of the equation. -50 + 50 + 5x = 20 + 50 Combine like terms: -50 + 50 = 0 0 + 5x = 20 + 50 5x = 20 + 50 Combine like terms: 20 + 50 = 70 5x = 70 Divide each side by '5'. x = 14 Simplifying x = 14
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