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Simplifying 10x + -45 = 5(x + 5) Reorder the terms: -45 + 10x = 5(x + 5) Reorder the terms: -45 + 10x = 5(5 + x) -45 + 10x = (5 * 5 + x * 5) -45 + 10x = (25 + 5x) Solving -45 + 10x = 25 + 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. -45 + 10x + -5x = 25 + 5x + -5x Combine like terms: 10x + -5x = 5x -45 + 5x = 25 + 5x + -5x Combine like terms: 5x + -5x = 0 -45 + 5x = 25 + 0 -45 + 5x = 25 Add '45' to each side of the equation. -45 + 45 + 5x = 25 + 45 Combine like terms: -45 + 45 = 0 0 + 5x = 25 + 45 5x = 25 + 45 Combine like terms: 25 + 45 = 70 5x = 70 Divide each side by '5'. x = 14 Simplifying x = 14
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