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Simplifying 8.45(x + -10) = 3(x + -3.854) Reorder the terms: 8.45(-10 + x) = 3(x + -3.854) (-10 * 8.45 + x * 8.45) = 3(x + -3.854) (-84.5 + 8.45x) = 3(x + -3.854) Reorder the terms: -84.5 + 8.45x = 3(-3.854 + x) -84.5 + 8.45x = (-3.854 * 3 + x * 3) -84.5 + 8.45x = (-11.562 + 3x) Solving -84.5 + 8.45x = -11.562 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -84.5 + 8.45x + -3x = -11.562 + 3x + -3x Combine like terms: 8.45x + -3x = 5.45x -84.5 + 5.45x = -11.562 + 3x + -3x Combine like terms: 3x + -3x = 0 -84.5 + 5.45x = -11.562 + 0 -84.5 + 5.45x = -11.562 Add '84.5' to each side of the equation. -84.5 + 84.5 + 5.45x = -11.562 + 84.5 Combine like terms: -84.5 + 84.5 = 0.0 0.0 + 5.45x = -11.562 + 84.5 5.45x = -11.562 + 84.5 Combine like terms: -11.562 + 84.5 = 72.938 5.45x = 72.938 Divide each side by '5.45'. x = 13.38311927 Simplifying x = 13.38311927
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