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Simplifying 7x + -41 = 5(x + -7) Reorder the terms: -41 + 7x = 5(x + -7) Reorder the terms: -41 + 7x = 5(-7 + x) -41 + 7x = (-7 * 5 + x * 5) -41 + 7x = (-35 + 5x) Solving -41 + 7x = -35 + 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. -41 + 7x + -5x = -35 + 5x + -5x Combine like terms: 7x + -5x = 2x -41 + 2x = -35 + 5x + -5x Combine like terms: 5x + -5x = 0 -41 + 2x = -35 + 0 -41 + 2x = -35 Add '41' to each side of the equation. -41 + 41 + 2x = -35 + 41 Combine like terms: -41 + 41 = 0 0 + 2x = -35 + 41 2x = -35 + 41 Combine like terms: -35 + 41 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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