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Simplifying 41 = 3(3x + 5) + -7(2 + 2x) Reorder the terms: 41 = 3(5 + 3x) + -7(2 + 2x) 41 = (5 * 3 + 3x * 3) + -7(2 + 2x) 41 = (15 + 9x) + -7(2 + 2x) 41 = 15 + 9x + (2 * -7 + 2x * -7) 41 = 15 + 9x + (-14 + -14x) Reorder the terms: 41 = 15 + -14 + 9x + -14x Combine like terms: 15 + -14 = 1 41 = 1 + 9x + -14x Combine like terms: 9x + -14x = -5x 41 = 1 + -5x Solving 41 = 1 + -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 + 5x = 1 + -5x + 5x Combine like terms: -5x + 5x = 0 41 + 5x = 1 + 0 41 + 5x = 1 Add '-41' to each side of the equation. 41 + -41 + 5x = 1 + -41 Combine like terms: 41 + -41 = 0 0 + 5x = 1 + -41 5x = 1 + -41 Combine like terms: 1 + -41 = -40 5x = -40 Divide each side by '5'. x = -8 Simplifying x = -8
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