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Simplifying 17.55 = 0.21x + 0.36(x + 6) Reorder the terms: 17.55 = 0.21x + 0.36(6 + x) 17.55 = 0.21x + (6 * 0.36 + x * 0.36) 17.55 = 0.21x + (2.16 + 0.36x) Reorder the terms: 17.55 = 2.16 + 0.21x + 0.36x Combine like terms: 0.21x + 0.36x = 0.57x 17.55 = 2.16 + 0.57x Solving 17.55 = 2.16 + 0.57x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.57x' to each side of the equation. 17.55 + -0.57x = 2.16 + 0.57x + -0.57x Combine like terms: 0.57x + -0.57x = 0.00 17.55 + -0.57x = 2.16 + 0.00 17.55 + -0.57x = 2.16 Add '-17.55' to each side of the equation. 17.55 + -17.55 + -0.57x = 2.16 + -17.55 Combine like terms: 17.55 + -17.55 = 0.00 0.00 + -0.57x = 2.16 + -17.55 -0.57x = 2.16 + -17.55 Combine like terms: 2.16 + -17.55 = -15.39 -0.57x = -15.39 Divide each side by '-0.57'. x = 27 Simplifying x = 27
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