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Simplifying 8(4x + 1) = 9(5x + -2) Reorder the terms: 8(1 + 4x) = 9(5x + -2) (1 * 8 + 4x * 8) = 9(5x + -2) (8 + 32x) = 9(5x + -2) Reorder the terms: 8 + 32x = 9(-2 + 5x) 8 + 32x = (-2 * 9 + 5x * 9) 8 + 32x = (-18 + 45x) Solving 8 + 32x = -18 + 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. 8 + 32x + -45x = -18 + 45x + -45x Combine like terms: 32x + -45x = -13x 8 + -13x = -18 + 45x + -45x Combine like terms: 45x + -45x = 0 8 + -13x = -18 + 0 8 + -13x = -18 Add '-8' to each side of the equation. 8 + -8 + -13x = -18 + -8 Combine like terms: 8 + -8 = 0 0 + -13x = -18 + -8 -13x = -18 + -8 Combine like terms: -18 + -8 = -26 -13x = -26 Divide each side by '-13'. x = 2 Simplifying x = 2
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