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Simplifying 4.1x + 7 = -2 + 9.6(x + -9) Reorder the terms: 7 + 4.1x = -2 + 9.6(x + -9) Reorder the terms: 7 + 4.1x = -2 + 9.6(-9 + x) 7 + 4.1x = -2 + (-9 * 9.6 + x * 9.6) 7 + 4.1x = -2 + (-86.4 + 9.6x) Combine like terms: -2 + -86.4 = -88.4 7 + 4.1x = -88.4 + 9.6x Solving 7 + 4.1x = -88.4 + 9.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.6x' to each side of the equation. 7 + 4.1x + -9.6x = -88.4 + 9.6x + -9.6x Combine like terms: 4.1x + -9.6x = -5.5x 7 + -5.5x = -88.4 + 9.6x + -9.6x Combine like terms: 9.6x + -9.6x = 0.0 7 + -5.5x = -88.4 + 0.0 7 + -5.5x = -88.4 Add '-7' to each side of the equation. 7 + -7 + -5.5x = -88.4 + -7 Combine like terms: 7 + -7 = 0 0 + -5.5x = -88.4 + -7 -5.5x = -88.4 + -7 Combine like terms: -88.4 + -7 = -95.4 -5.5x = -95.4 Divide each side by '-5.5'. x = 17.34545455 Simplifying x = 17.34545455
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