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Simplifying 6x + -7(x + 5) = -41 Reorder the terms: 6x + -7(5 + x) = -41 6x + (5 * -7 + x * -7) = -41 6x + (-35 + -7x) = -41 Reorder the terms: -35 + 6x + -7x = -41 Combine like terms: 6x + -7x = -1x -35 + -1x = -41 Solving -35 + -1x = -41 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -1x = -41 + 35 Combine like terms: -35 + 35 = 0 0 + -1x = -41 + 35 -1x = -41 + 35 Combine like terms: -41 + 35 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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