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Simplifying 3(7 + 6x) + 6 = 5(3 + -5x) (7 * 3 + 6x * 3) + 6 = 5(3 + -5x) (21 + 18x) + 6 = 5(3 + -5x) Reorder the terms: 21 + 6 + 18x = 5(3 + -5x) Combine like terms: 21 + 6 = 27 27 + 18x = 5(3 + -5x) 27 + 18x = (3 * 5 + -5x * 5) 27 + 18x = (15 + -25x) Solving 27 + 18x = 15 + -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. 27 + 18x + 25x = 15 + -25x + 25x Combine like terms: 18x + 25x = 43x 27 + 43x = 15 + -25x + 25x Combine like terms: -25x + 25x = 0 27 + 43x = 15 + 0 27 + 43x = 15 Add '-27' to each side of the equation. 27 + -27 + 43x = 15 + -27 Combine like terms: 27 + -27 = 0 0 + 43x = 15 + -27 43x = 15 + -27 Combine like terms: 15 + -27 = -12 43x = -12 Divide each side by '43'. x = -0.2790697674 Simplifying x = -0.2790697674
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