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Simplifying 5.3x + 25.35 = 1.2(7.8 + 7.7x) + 2.2 Reorder the terms: 25.35 + 5.3x = 1.2(7.8 + 7.7x) + 2.2 25.35 + 5.3x = (7.8 * 1.2 + 7.7x * 1.2) + 2.2 25.35 + 5.3x = (9.36 + 9.24x) + 2.2 Reorder the terms: 25.35 + 5.3x = 9.36 + 2.2 + 9.24x Combine like terms: 9.36 + 2.2 = 11.56 25.35 + 5.3x = 11.56 + 9.24x Solving 25.35 + 5.3x = 11.56 + 9.24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.24x' to each side of the equation. 25.35 + 5.3x + -9.24x = 11.56 + 9.24x + -9.24x Combine like terms: 5.3x + -9.24x = -3.94x 25.35 + -3.94x = 11.56 + 9.24x + -9.24x Combine like terms: 9.24x + -9.24x = 0.00 25.35 + -3.94x = 11.56 + 0.00 25.35 + -3.94x = 11.56 Add '-25.35' to each side of the equation. 25.35 + -25.35 + -3.94x = 11.56 + -25.35 Combine like terms: 25.35 + -25.35 = 0.00 0.00 + -3.94x = 11.56 + -25.35 -3.94x = 11.56 + -25.35 Combine like terms: 11.56 + -25.35 = -13.79 -3.94x = -13.79 Divide each side by '-3.94'. x = 3.5 Simplifying x = 3.5
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