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Simplifying 8.43x + -2.5(3.2 + -0.7x) = 3.455x + 9.04 8.43x + (3.2 * -2.5 + -0.7x * -2.5) = 3.455x + 9.04 8.43x + (-8 + 1.75x) = 3.455x + 9.04 Reorder the terms: -8 + 8.43x + 1.75x = 3.455x + 9.04 Combine like terms: 8.43x + 1.75x = 10.18x -8 + 10.18x = 3.455x + 9.04 Reorder the terms: -8 + 10.18x = 9.04 + 3.455x Solving -8 + 10.18x = 9.04 + 3.455x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.455x' to each side of the equation. -8 + 10.18x + -3.455x = 9.04 + 3.455x + -3.455x Combine like terms: 10.18x + -3.455x = 6.725x -8 + 6.725x = 9.04 + 3.455x + -3.455x Combine like terms: 3.455x + -3.455x = 0.000 -8 + 6.725x = 9.04 + 0.000 -8 + 6.725x = 9.04 Add '8' to each side of the equation. -8 + 8 + 6.725x = 9.04 + 8 Combine like terms: -8 + 8 = 0 0 + 6.725x = 9.04 + 8 6.725x = 9.04 + 8 Combine like terms: 9.04 + 8 = 17.04 6.725x = 17.04 Divide each side by '6.725'. x = 2.533828996 Simplifying x = 2.533828996
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