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Simplifying 7(4 + -5x) = 3(8x + 9) (4 * 7 + -5x * 7) = 3(8x + 9) (28 + -35x) = 3(8x + 9) Reorder the terms: 28 + -35x = 3(9 + 8x) 28 + -35x = (9 * 3 + 8x * 3) 28 + -35x = (27 + 24x) Solving 28 + -35x = 27 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 28 + -35x + -24x = 27 + 24x + -24x Combine like terms: -35x + -24x = -59x 28 + -59x = 27 + 24x + -24x Combine like terms: 24x + -24x = 0 28 + -59x = 27 + 0 28 + -59x = 27 Add '-28' to each side of the equation. 28 + -28 + -59x = 27 + -28 Combine like terms: 28 + -28 = 0 0 + -59x = 27 + -28 -59x = 27 + -28 Combine like terms: 27 + -28 = -1 -59x = -1 Divide each side by '-59'. x = 0.01694915254 Simplifying x = 0.01694915254
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