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Simplifying 6 + 9(5x + 3) = 7 + -5(9x + -4) Reorder the terms: 6 + 9(3 + 5x) = 7 + -5(9x + -4) 6 + (3 * 9 + 5x * 9) = 7 + -5(9x + -4) 6 + (27 + 45x) = 7 + -5(9x + -4) Combine like terms: 6 + 27 = 33 33 + 45x = 7 + -5(9x + -4) Reorder the terms: 33 + 45x = 7 + -5(-4 + 9x) 33 + 45x = 7 + (-4 * -5 + 9x * -5) 33 + 45x = 7 + (20 + -45x) Combine like terms: 7 + 20 = 27 33 + 45x = 27 + -45x Solving 33 + 45x = 27 + -45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45x' to each side of the equation. 33 + 45x + 45x = 27 + -45x + 45x Combine like terms: 45x + 45x = 90x 33 + 90x = 27 + -45x + 45x Combine like terms: -45x + 45x = 0 33 + 90x = 27 + 0 33 + 90x = 27 Add '-33' to each side of the equation. 33 + -33 + 90x = 27 + -33 Combine like terms: 33 + -33 = 0 0 + 90x = 27 + -33 90x = 27 + -33 Combine like terms: 27 + -33 = -6 90x = -6 Divide each side by '90'. x = -0.06666666667 Simplifying x = -0.06666666667
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