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Simplifying 5(5x + 4) = -9(2x + 1) Reorder the terms: 5(4 + 5x) = -9(2x + 1) (4 * 5 + 5x * 5) = -9(2x + 1) (20 + 25x) = -9(2x + 1) Reorder the terms: 20 + 25x = -9(1 + 2x) 20 + 25x = (1 * -9 + 2x * -9) 20 + 25x = (-9 + -18x) Solving 20 + 25x = -9 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 20 + 25x + 18x = -9 + -18x + 18x Combine like terms: 25x + 18x = 43x 20 + 43x = -9 + -18x + 18x Combine like terms: -18x + 18x = 0 20 + 43x = -9 + 0 20 + 43x = -9 Add '-20' to each side of the equation. 20 + -20 + 43x = -9 + -20 Combine like terms: 20 + -20 = 0 0 + 43x = -9 + -20 43x = -9 + -20 Combine like terms: -9 + -20 = -29 43x = -29 Divide each side by '43'. x = -0.6744186047 Simplifying x = -0.6744186047
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