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Simplifying 8(6x + -10) = 9(15x + 2) Reorder the terms: 8(-10 + 6x) = 9(15x + 2) (-10 * 8 + 6x * 8) = 9(15x + 2) (-80 + 48x) = 9(15x + 2) Reorder the terms: -80 + 48x = 9(2 + 15x) -80 + 48x = (2 * 9 + 15x * 9) -80 + 48x = (18 + 135x) Solving -80 + 48x = 18 + 135x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-135x' to each side of the equation. -80 + 48x + -135x = 18 + 135x + -135x Combine like terms: 48x + -135x = -87x -80 + -87x = 18 + 135x + -135x Combine like terms: 135x + -135x = 0 -80 + -87x = 18 + 0 -80 + -87x = 18 Add '80' to each side of the equation. -80 + 80 + -87x = 18 + 80 Combine like terms: -80 + 80 = 0 0 + -87x = 18 + 80 -87x = 18 + 80 Combine like terms: 18 + 80 = 98 -87x = 98 Divide each side by '-87'. x = -1.126436782 Simplifying x = -1.126436782
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