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Simplifying 8.7 + -7.1(x + 7.3) = 14 + -7(x + 2) Reorder the terms: 8.7 + -7.1(7.3 + x) = 14 + -7(x + 2) 8.7 + (7.3 * -7.1 + x * -7.1) = 14 + -7(x + 2) 8.7 + (-51.83 + -7.1x) = 14 + -7(x + 2) Combine like terms: 8.7 + -51.83 = -43.13 -43.13 + -7.1x = 14 + -7(x + 2) Reorder the terms: -43.13 + -7.1x = 14 + -7(2 + x) -43.13 + -7.1x = 14 + (2 * -7 + x * -7) -43.13 + -7.1x = 14 + (-14 + -7x) Combine like terms: 14 + -14 = 0 -43.13 + -7.1x = 0 + -7x -43.13 + -7.1x = -7x Solving -43.13 + -7.1x = -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -43.13 + -7.1x + 7x = -7x + 7x Combine like terms: -7.1x + 7x = -0.1x -43.13 + -0.1x = -7x + 7x Combine like terms: -7x + 7x = 0 -43.13 + -0.1x = 0 Add '43.13' to each side of the equation. -43.13 + 43.13 + -0.1x = 0 + 43.13 Combine like terms: -43.13 + 43.13 = 0.00 0.00 + -0.1x = 0 + 43.13 -0.1x = 0 + 43.13 Combine like terms: 0 + 43.13 = 43.13 -0.1x = 43.13 Divide each side by '-0.1'. x = -431.3 Simplifying x = -431.3
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