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Simplifying 15x + -1(5x + -2) = 52 Reorder the terms: 15x + -1(-2 + 5x) = 52 15x + (-2 * -1 + 5x * -1) = 52 15x + (2 + -5x) = 52 Reorder the terms: 2 + 15x + -5x = 52 Combine like terms: 15x + -5x = 10x 2 + 10x = 52 Solving 2 + 10x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 10x = 52 + -2 Combine like terms: 2 + -2 = 0 0 + 10x = 52 + -2 10x = 52 + -2 Combine like terms: 52 + -2 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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