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Simplifying 1 + -4(x + 5) = 7x + -41 Reorder the terms: 1 + -4(5 + x) = 7x + -41 1 + (5 * -4 + x * -4) = 7x + -41 1 + (-20 + -4x) = 7x + -41 Combine like terms: 1 + -20 = -19 -19 + -4x = 7x + -41 Reorder the terms: -19 + -4x = -41 + 7x Solving -19 + -4x = -41 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -19 + -4x + -7x = -41 + 7x + -7x Combine like terms: -4x + -7x = -11x -19 + -11x = -41 + 7x + -7x Combine like terms: 7x + -7x = 0 -19 + -11x = -41 + 0 -19 + -11x = -41 Add '19' to each side of the equation. -19 + 19 + -11x = -41 + 19 Combine like terms: -19 + 19 = 0 0 + -11x = -41 + 19 -11x = -41 + 19 Combine like terms: -41 + 19 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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