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Simplifying 6(x + -5) = 47 + -5x Reorder the terms: 6(-5 + x) = 47 + -5x (-5 * 6 + x * 6) = 47 + -5x (-30 + 6x) = 47 + -5x Solving -30 + 6x = 47 + -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. -30 + 6x + 5x = 47 + -5x + 5x Combine like terms: 6x + 5x = 11x -30 + 11x = 47 + -5x + 5x Combine like terms: -5x + 5x = 0 -30 + 11x = 47 + 0 -30 + 11x = 47 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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