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Simplifying 5.81(x + 6.95) = -2.55(x + 6.13) Reorder the terms: 5.81(6.95 + x) = -2.55(x + 6.13) (6.95 * 5.81 + x * 5.81) = -2.55(x + 6.13) (40.3795 + 5.81x) = -2.55(x + 6.13) Reorder the terms: 40.3795 + 5.81x = -2.55(6.13 + x) 40.3795 + 5.81x = (6.13 * -2.55 + x * -2.55) 40.3795 + 5.81x = (-15.6315 + -2.55x) Solving 40.3795 + 5.81x = -15.6315 + -2.55x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.55x' to each side of the equation. 40.3795 + 5.81x + 2.55x = -15.6315 + -2.55x + 2.55x Combine like terms: 5.81x + 2.55x = 8.36x 40.3795 + 8.36x = -15.6315 + -2.55x + 2.55x Combine like terms: -2.55x + 2.55x = 0.00 40.3795 + 8.36x = -15.6315 + 0.00 40.3795 + 8.36x = -15.6315 Add '-40.3795' to each side of the equation. 40.3795 + -40.3795 + 8.36x = -15.6315 + -40.3795 Combine like terms: 40.3795 + -40.3795 = 0.0000 0.0000 + 8.36x = -15.6315 + -40.3795 8.36x = -15.6315 + -40.3795 Combine like terms: -15.6315 + -40.3795 = -56.011 8.36x = -56.011 Divide each side by '8.36'. x = -6.699880383 Simplifying x = -6.699880383
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