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Simplifying 4 + 3(9x + -5) = -9 + -9(3x + -2) Reorder the terms: 4 + 3(-5 + 9x) = -9 + -9(3x + -2) 4 + (-5 * 3 + 9x * 3) = -9 + -9(3x + -2) 4 + (-15 + 27x) = -9 + -9(3x + -2) Combine like terms: 4 + -15 = -11 -11 + 27x = -9 + -9(3x + -2) Reorder the terms: -11 + 27x = -9 + -9(-2 + 3x) -11 + 27x = -9 + (-2 * -9 + 3x * -9) -11 + 27x = -9 + (18 + -27x) Combine like terms: -9 + 18 = 9 -11 + 27x = 9 + -27x Solving -11 + 27x = 9 + -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. -11 + 27x + 27x = 9 + -27x + 27x Combine like terms: 27x + 27x = 54x -11 + 54x = 9 + -27x + 27x Combine like terms: -27x + 27x = 0 -11 + 54x = 9 + 0 -11 + 54x = 9 Add '11' to each side of the equation. -11 + 11 + 54x = 9 + 11 Combine like terms: -11 + 11 = 0 0 + 54x = 9 + 11 54x = 9 + 11 Combine like terms: 9 + 11 = 20 54x = 20 Divide each side by '54'. x = 0.3703703704 Simplifying x = 0.3703703704
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