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Simplifying 4(9x + -10) = 41 + 9x Reorder the terms: 4(-10 + 9x) = 41 + 9x (-10 * 4 + 9x * 4) = 41 + 9x (-40 + 36x) = 41 + 9x Solving -40 + 36x = 41 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -40 + 36x + -9x = 41 + 9x + -9x Combine like terms: 36x + -9x = 27x -40 + 27x = 41 + 9x + -9x Combine like terms: 9x + -9x = 0 -40 + 27x = 41 + 0 -40 + 27x = 41 Add '40' to each side of the equation. -40 + 40 + 27x = 41 + 40 Combine like terms: -40 + 40 = 0 0 + 27x = 41 + 40 27x = 41 + 40 Combine like terms: 41 + 40 = 81 27x = 81 Divide each side by '27'. x = 3 Simplifying x = 3
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