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Simplifying 8.43x + -2.5(3.2 + -0.7x) = -3.4555x + 9.04 8.43x + (3.2 * -2.5 + -0.7x * -2.5) = -3.4555x + 9.04 8.43x + (-8 + 1.75x) = -3.4555x + 9.04 Reorder the terms: -8 + 8.43x + 1.75x = -3.4555x + 9.04 Combine like terms: 8.43x + 1.75x = 10.18x -8 + 10.18x = -3.4555x + 9.04 Reorder the terms: -8 + 10.18x = 9.04 + -3.4555x Solving -8 + 10.18x = 9.04 + -3.4555x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.4555x' to each side of the equation. -8 + 10.18x + 3.4555x = 9.04 + -3.4555x + 3.4555x Combine like terms: 10.18x + 3.4555x = 13.6355x -8 + 13.6355x = 9.04 + -3.4555x + 3.4555x Combine like terms: -3.4555x + 3.4555x = 0.0000 -8 + 13.6355x = 9.04 + 0.0000 -8 + 13.6355x = 9.04 Add '8' to each side of the equation. -8 + 8 + 13.6355x = 9.04 + 8 Combine like terms: -8 + 8 = 0 0 + 13.6355x = 9.04 + 8 13.6355x = 9.04 + 8 Combine like terms: 9.04 + 8 = 17.04 13.6355x = 17.04 Divide each side by '13.6355'. x = 1.249679146 Simplifying x = 1.249679146
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