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Simplifying 5(5x + 10) = 6(6x + 2) + -8 Reorder the terms: 5(10 + 5x) = 6(6x + 2) + -8 (10 * 5 + 5x * 5) = 6(6x + 2) + -8 (50 + 25x) = 6(6x + 2) + -8 Reorder the terms: 50 + 25x = 6(2 + 6x) + -8 50 + 25x = (2 * 6 + 6x * 6) + -8 50 + 25x = (12 + 36x) + -8 Reorder the terms: 50 + 25x = 12 + -8 + 36x Combine like terms: 12 + -8 = 4 50 + 25x = 4 + 36x Solving 50 + 25x = 4 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 50 + 25x + -36x = 4 + 36x + -36x Combine like terms: 25x + -36x = -11x 50 + -11x = 4 + 36x + -36x Combine like terms: 36x + -36x = 0 50 + -11x = 4 + 0 50 + -11x = 4 Add '-50' to each side of the equation. 50 + -50 + -11x = 4 + -50 Combine like terms: 50 + -50 = 0 0 + -11x = 4 + -50 -11x = 4 + -50 Combine like terms: 4 + -50 = -46 -11x = -46 Divide each side by '-11'. x = 4.181818182 Simplifying x = 4.181818182
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