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Simplifying 4 + 6(9x + -5) = 45 + 9x Reorder the terms: 4 + 6(-5 + 9x) = 45 + 9x 4 + (-5 * 6 + 9x * 6) = 45 + 9x 4 + (-30 + 54x) = 45 + 9x Combine like terms: 4 + -30 = -26 -26 + 54x = 45 + 9x Solving -26 + 54x = 45 + 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. -26 + 54x + -9x = 45 + 9x + -9x Combine like terms: 54x + -9x = 45x -26 + 45x = 45 + 9x + -9x Combine like terms: 9x + -9x = 0 -26 + 45x = 45 + 0 -26 + 45x = 45 Add '26' to each side of the equation. -26 + 26 + 45x = 45 + 26 Combine like terms: -26 + 26 = 0 0 + 45x = 45 + 26 45x = 45 + 26 Combine like terms: 45 + 26 = 71 45x = 71 Divide each side by '45'. x = 1.577777778 Simplifying x = 1.577777778
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