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Simplifying 8x + 9 = 5(6x + 4) + -2 Reorder the terms: 9 + 8x = 5(6x + 4) + -2 Reorder the terms: 9 + 8x = 5(4 + 6x) + -2 9 + 8x = (4 * 5 + 6x * 5) + -2 9 + 8x = (20 + 30x) + -2 Reorder the terms: 9 + 8x = 20 + -2 + 30x Combine like terms: 20 + -2 = 18 9 + 8x = 18 + 30x Solving 9 + 8x = 18 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 9 + 8x + -30x = 18 + 30x + -30x Combine like terms: 8x + -30x = -22x 9 + -22x = 18 + 30x + -30x Combine like terms: 30x + -30x = 0 9 + -22x = 18 + 0 9 + -22x = 18 Add '-9' to each side of the equation. 9 + -9 + -22x = 18 + -9 Combine like terms: 9 + -9 = 0 0 + -22x = 18 + -9 -22x = 18 + -9 Combine like terms: 18 + -9 = 9 -22x = 9 Divide each side by '-22'. x = -0.4090909091 Simplifying x = -0.4090909091
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