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Simplifying -7x + 6(3x + 5) = -47 Reorder the terms: -7x + 6(5 + 3x) = -47 -7x + (5 * 6 + 3x * 6) = -47 -7x + (30 + 18x) = -47 Reorder the terms: 30 + -7x + 18x = -47 Combine like terms: -7x + 18x = 11x 30 + 11x = -47 Solving 30 + 11x = -47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 11x = -47 + -30 Combine like terms: 30 + -30 = 0 0 + 11x = -47 + -30 11x = -47 + -30 Combine like terms: -47 + -30 = -77 11x = -77 Divide each side by '11'. x = -7 Simplifying x = -7
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