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Simplifying 9x + -41 = 2(2x + -3) Reorder the terms: -41 + 9x = 2(2x + -3) Reorder the terms: -41 + 9x = 2(-3 + 2x) -41 + 9x = (-3 * 2 + 2x * 2) -41 + 9x = (-6 + 4x) Solving -41 + 9x = -6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -41 + 9x + -4x = -6 + 4x + -4x Combine like terms: 9x + -4x = 5x -41 + 5x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 -41 + 5x = -6 + 0 -41 + 5x = -6 Add '41' to each side of the equation. -41 + 41 + 5x = -6 + 41 Combine like terms: -41 + 41 = 0 0 + 5x = -6 + 41 5x = -6 + 41 Combine like terms: -6 + 41 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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