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Simplifying 7(9x + 6) = 20.5 + 9.5x Reorder the terms: 7(6 + 9x) = 20.5 + 9.5x (6 * 7 + 9x * 7) = 20.5 + 9.5x (42 + 63x) = 20.5 + 9.5x Solving 42 + 63x = 20.5 + 9.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.5x' to each side of the equation. 42 + 63x + -9.5x = 20.5 + 9.5x + -9.5x Combine like terms: 63x + -9.5x = 53.5x 42 + 53.5x = 20.5 + 9.5x + -9.5x Combine like terms: 9.5x + -9.5x = 0.0 42 + 53.5x = 20.5 + 0.0 42 + 53.5x = 20.5 Add '-42' to each side of the equation. 42 + -42 + 53.5x = 20.5 + -42 Combine like terms: 42 + -42 = 0 0 + 53.5x = 20.5 + -42 53.5x = 20.5 + -42 Combine like terms: 20.5 + -42 = -21.5 53.5x = -21.5 Divide each side by '53.5'. x = -0.4018691589 Simplifying x = -0.4018691589
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