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Simplifying 15x + -1(6x + -7) = 52 Reorder the terms: 15x + -1(-7 + 6x) = 52 15x + (-7 * -1 + 6x * -1) = 52 15x + (7 + -6x) = 52 Reorder the terms: 7 + 15x + -6x = 52 Combine like terms: 15x + -6x = 9x 7 + 9x = 52 Solving 7 + 9x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 9x = 52 + -7 Combine like terms: 7 + -7 = 0 0 + 9x = 52 + -7 9x = 52 + -7 Combine like terms: 52 + -7 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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