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Simplifying 5x + 5(x + -13) = 5(x + -10) Reorder the terms: 5x + 5(-13 + x) = 5(x + -10) 5x + (-13 * 5 + x * 5) = 5(x + -10) 5x + (-65 + 5x) = 5(x + -10) Reorder the terms: -65 + 5x + 5x = 5(x + -10) Combine like terms: 5x + 5x = 10x -65 + 10x = 5(x + -10) Reorder the terms: -65 + 10x = 5(-10 + x) -65 + 10x = (-10 * 5 + x * 5) -65 + 10x = (-50 + 5x) Solving -65 + 10x = -50 + 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. -65 + 10x + -5x = -50 + 5x + -5x Combine like terms: 10x + -5x = 5x -65 + 5x = -50 + 5x + -5x Combine like terms: 5x + -5x = 0 -65 + 5x = -50 + 0 -65 + 5x = -50 Add '65' to each side of the equation. -65 + 65 + 5x = -50 + 65 Combine like terms: -65 + 65 = 0 0 + 5x = -50 + 65 5x = -50 + 65 Combine like terms: -50 + 65 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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