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Simplifying 506.55 = 33(x + 2.35) Reorder the terms: 506.55 = 33(2.35 + x) 506.55 = (2.35 * 33 + x * 33) 506.55 = (77.55 + 33x) Solving 506.55 = 77.55 + 33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33x' to each side of the equation. 506.55 + -33x = 77.55 + 33x + -33x Combine like terms: 33x + -33x = 0 506.55 + -33x = 77.55 + 0 506.55 + -33x = 77.55 Add '-506.55' to each side of the equation. 506.55 + -506.55 + -33x = 77.55 + -506.55 Combine like terms: 506.55 + -506.55 = 0.00 0.00 + -33x = 77.55 + -506.55 -33x = 77.55 + -506.55 Combine like terms: 77.55 + -506.55 = -429 -33x = -429 Divide each side by '-33'. x = 13 Simplifying x = 13
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