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Simplifying (0.5(27 + -1x)(15)) + (x)(15) = 550 Reorder the terms for easier multiplication: (0.5 * 15(27 + -1x)) + (x)(15) = 550 Multiply 0.5 * 15 (7.5(27 + -1x)) + (x)(15) = 550 ((27 * 7.5 + -1x * 7.5)) + (x)(15) = 550 ((202.5 + -7.5x)) + (x)(15) = 550 (202.5 + -7.5x) + (x)(15) = 550 Remove parenthesis around (202.5 + -7.5x) 202.5 + -7.5x + (x)(15) = 550 Reorder the terms for easier multiplication: 202.5 + -7.5x + 15x = 550 Combine like terms: -7.5x + 15x = 7.5x 202.5 + 7.5x = 550 Solving 202.5 + 7.5x = 550 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-202.5' to each side of the equation. 202.5 + -202.5 + 7.5x = 550 + -202.5 Combine like terms: 202.5 + -202.5 = 0.0 0.0 + 7.5x = 550 + -202.5 7.5x = 550 + -202.5 Combine like terms: 550 + -202.5 = 347.5 7.5x = 347.5 Divide each side by '7.5'. x = 46.33333333 Simplifying x = 46.33333333
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