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Simplifying 10x + -1(3x + -5) = 47 Reorder the terms: 10x + -1(-5 + 3x) = 47 10x + (-5 * -1 + 3x * -1) = 47 10x + (5 + -3x) = 47 Reorder the terms: 5 + 10x + -3x = 47 Combine like terms: 10x + -3x = 7x 5 + 7x = 47 Solving 5 + 7x = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7x = 47 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 47 + -5 7x = 47 + -5 Combine like terms: 47 + -5 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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