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Simplifying 4(9 + -2x) = 41 + -3x (9 * 4 + -2x * 4) = 41 + -3x (36 + -8x) = 41 + -3x Solving 36 + -8x = 41 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 36 + -8x + 3x = 41 + -3x + 3x Combine like terms: -8x + 3x = -5x 36 + -5x = 41 + -3x + 3x Combine like terms: -3x + 3x = 0 36 + -5x = 41 + 0 36 + -5x = 41 Add '-36' to each side of the equation. 36 + -36 + -5x = 41 + -36 Combine like terms: 36 + -36 = 0 0 + -5x = 41 + -36 -5x = 41 + -36 Combine like terms: 41 + -36 = 5 -5x = 5 Divide each side by '-5'. x = -1 Simplifying x = -1
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