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Simplifying 5(5x + 4) = 3(9x + -2) Reorder the terms: 5(4 + 5x) = 3(9x + -2) (4 * 5 + 5x * 5) = 3(9x + -2) (20 + 25x) = 3(9x + -2) Reorder the terms: 20 + 25x = 3(-2 + 9x) 20 + 25x = (-2 * 3 + 9x * 3) 20 + 25x = (-6 + 27x) Solving 20 + 25x = -6 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 20 + 25x + -27x = -6 + 27x + -27x Combine like terms: 25x + -27x = -2x 20 + -2x = -6 + 27x + -27x Combine like terms: 27x + -27x = 0 20 + -2x = -6 + 0 20 + -2x = -6 Add '-20' to each side of the equation. 20 + -20 + -2x = -6 + -20 Combine like terms: 20 + -20 = 0 0 + -2x = -6 + -20 -2x = -6 + -20 Combine like terms: -6 + -20 = -26 -2x = -26 Divide each side by '-2'. x = 13 Simplifying x = 13
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