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Simplifying 41 = 4(2 + -2x) + 1 41 = (2 * 4 + -2x * 4) + 1 41 = (8 + -8x) + 1 Reorder the terms: 41 = 8 + 1 + -8x Combine like terms: 8 + 1 = 9 41 = 9 + -8x Solving 41 = 9 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 41 + 8x = 9 + -8x + 8x Combine like terms: -8x + 8x = 0 41 + 8x = 9 + 0 41 + 8x = 9 Add '-41' to each side of the equation. 41 + -41 + 8x = 9 + -41 Combine like terms: 41 + -41 = 0 0 + 8x = 9 + -41 8x = 9 + -41 Combine like terms: 9 + -41 = -32 8x = -32 Divide each side by '8'. x = -4 Simplifying x = -4
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