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Simplifying (29.5) + -1(5.5x) = 7.5(3x + 3.5) 29.5 + -1(5.5x) = 7.5(3x + 3.5) Remove parenthesis around (5.5x) 29.5 + -1 * 5.5x = 7.5(3x + 3.5) Multiply -1 * 5.5 29.5 + -5.5x = 7.5(3x + 3.5) Reorder the terms: 29.5 + -5.5x = 7.5(3.5 + 3x) 29.5 + -5.5x = (3.5 * 7.5 + 3x * 7.5) 29.5 + -5.5x = (26.25 + 22.5x) Solving 29.5 + -5.5x = 26.25 + 22.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22.5x' to each side of the equation. 29.5 + -5.5x + -22.5x = 26.25 + 22.5x + -22.5x Combine like terms: -5.5x + -22.5x = -28x 29.5 + -28x = 26.25 + 22.5x + -22.5x Combine like terms: 22.5x + -22.5x = 0.0 29.5 + -28x = 26.25 + 0.0 29.5 + -28x = 26.25 Add '-29.5' to each side of the equation. 29.5 + -29.5 + -28x = 26.25 + -29.5 Combine like terms: 29.5 + -29.5 = 0.0 0.0 + -28x = 26.25 + -29.5 -28x = 26.25 + -29.5 Combine like terms: 26.25 + -29.5 = -3.25 -28x = -3.25 Divide each side by '-28'. x = 0.1160714286 Simplifying x = 0.1160714286
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