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Simplifying -6.8(7.9 + 1.2x) + 3.7 = 4.2x + 40.90016 (7.9 * -6.8 + 1.2x * -6.8) + 3.7 = 4.2x + 40.90016 (-53.72 + -8.16x) + 3.7 = 4.2x + 40.90016 Reorder the terms: -53.72 + 3.7 + -8.16x = 4.2x + 40.90016 Combine like terms: -53.72 + 3.7 = -50.02 -50.02 + -8.16x = 4.2x + 40.90016 Reorder the terms: -50.02 + -8.16x = 40.90016 + 4.2x Solving -50.02 + -8.16x = 40.90016 + 4.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.2x' to each side of the equation. -50.02 + -8.16x + -4.2x = 40.90016 + 4.2x + -4.2x Combine like terms: -8.16x + -4.2x = -12.36x -50.02 + -12.36x = 40.90016 + 4.2x + -4.2x Combine like terms: 4.2x + -4.2x = 0.0 -50.02 + -12.36x = 40.90016 + 0.0 -50.02 + -12.36x = 40.90016 Add '50.02' to each side of the equation. -50.02 + 50.02 + -12.36x = 40.90016 + 50.02 Combine like terms: -50.02 + 50.02 = 0.00 0.00 + -12.36x = 40.90016 + 50.02 -12.36x = 40.90016 + 50.02 Combine like terms: 40.90016 + 50.02 = 90.92016 -12.36x = 90.92016 Divide each side by '-12.36'. x = -7.356 Simplifying x = -7.356
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