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Simplifying 5(3x + -2) = 4(2x + 9) Reorder the terms: 5(-2 + 3x) = 4(2x + 9) (-2 * 5 + 3x * 5) = 4(2x + 9) (-10 + 15x) = 4(2x + 9) Reorder the terms: -10 + 15x = 4(9 + 2x) -10 + 15x = (9 * 4 + 2x * 4) -10 + 15x = (36 + 8x) Solving -10 + 15x = 36 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -10 + 15x + -8x = 36 + 8x + -8x Combine like terms: 15x + -8x = 7x -10 + 7x = 36 + 8x + -8x Combine like terms: 8x + -8x = 0 -10 + 7x = 36 + 0 -10 + 7x = 36 Add '10' to each side of the equation. -10 + 10 + 7x = 36 + 10 Combine like terms: -10 + 10 = 0 0 + 7x = 36 + 10 7x = 36 + 10 Combine like terms: 36 + 10 = 46 7x = 46 Divide each side by '7'. x = 6.571428571 Simplifying x = 6.571428571
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