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Simplifying 5(3x + -9) = 8(x) Reorder the terms: 5(-9 + 3x) = 8(x) (-9 * 5 + 3x * 5) = 8(x) (-45 + 15x) = 8(x) Solving -45 + 15x = 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. -45 + 15x + -8x = 8x + -8x Combine like terms: 15x + -8x = 7x -45 + 7x = 8x + -8x Combine like terms: 8x + -8x = 0 -45 + 7x = 0 Add '45' to each side of the equation. -45 + 45 + 7x = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 7x = 0 + 45 7x = 0 + 45 Combine like terms: 0 + 45 = 45 7x = 45 Divide each side by '7'. x = 6.428571429 Simplifying x = 6.428571429
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