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Simplifying 2.1(8.7 + -6.3x) = -9.5x + -12.4 (8.7 * 2.1 + -6.3x * 2.1) = -9.5x + -12.4 (18.27 + -13.23x) = -9.5x + -12.4 Reorder the terms: 18.27 + -13.23x = -12.4 + -9.5x Solving 18.27 + -13.23x = -12.4 + -9.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9.5x' to each side of the equation. 18.27 + -13.23x + 9.5x = -12.4 + -9.5x + 9.5x Combine like terms: -13.23x + 9.5x = -3.73x 18.27 + -3.73x = -12.4 + -9.5x + 9.5x Combine like terms: -9.5x + 9.5x = 0.0 18.27 + -3.73x = -12.4 + 0.0 18.27 + -3.73x = -12.4 Add '-18.27' to each side of the equation. 18.27 + -18.27 + -3.73x = -12.4 + -18.27 Combine like terms: 18.27 + -18.27 = 0.00 0.00 + -3.73x = -12.4 + -18.27 -3.73x = -12.4 + -18.27 Combine like terms: -12.4 + -18.27 = -30.67 -3.73x = -30.67 Divide each side by '-3.73'. x = 8.222520107 Simplifying x = 8.222520107
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