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Simplifying 6(2x + 2) = 9(5x + 4) + 5 Reorder the terms: 6(2 + 2x) = 9(5x + 4) + 5 (2 * 6 + 2x * 6) = 9(5x + 4) + 5 (12 + 12x) = 9(5x + 4) + 5 Reorder the terms: 12 + 12x = 9(4 + 5x) + 5 12 + 12x = (4 * 9 + 5x * 9) + 5 12 + 12x = (36 + 45x) + 5 Reorder the terms: 12 + 12x = 36 + 5 + 45x Combine like terms: 36 + 5 = 41 12 + 12x = 41 + 45x Solving 12 + 12x = 41 + 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. 12 + 12x + -45x = 41 + 45x + -45x Combine like terms: 12x + -45x = -33x 12 + -33x = 41 + 45x + -45x Combine like terms: 45x + -45x = 0 12 + -33x = 41 + 0 12 + -33x = 41 Add '-12' to each side of the equation. 12 + -12 + -33x = 41 + -12 Combine like terms: 12 + -12 = 0 0 + -33x = 41 + -12 -33x = 41 + -12 Combine like terms: 41 + -12 = 29 -33x = 29 Divide each side by '-33'. x = -0.8787878788 Simplifying x = -0.8787878788
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