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Simplifying 7.61 + 2.45x = 6.8(1.7x + -2.9) Reorder the terms: 7.61 + 2.45x = 6.8(-2.9 + 1.7x) 7.61 + 2.45x = (-2.9 * 6.8 + 1.7x * 6.8) 7.61 + 2.45x = (-19.72 + 11.56x) Solving 7.61 + 2.45x = -19.72 + 11.56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11.56x' to each side of the equation. 7.61 + 2.45x + -11.56x = -19.72 + 11.56x + -11.56x Combine like terms: 2.45x + -11.56x = -9.11x 7.61 + -9.11x = -19.72 + 11.56x + -11.56x Combine like terms: 11.56x + -11.56x = 0.00 7.61 + -9.11x = -19.72 + 0.00 7.61 + -9.11x = -19.72 Add '-7.61' to each side of the equation. 7.61 + -7.61 + -9.11x = -19.72 + -7.61 Combine like terms: 7.61 + -7.61 = 0.00 0.00 + -9.11x = -19.72 + -7.61 -9.11x = -19.72 + -7.61 Combine like terms: -19.72 + -7.61 = -27.33 -9.11x = -27.33 Divide each side by '-9.11'. x = 3 Simplifying x = 3
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