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Simplifying (7.1x + 8.3) + -1(-4.91x + 3.22) = 0 Reorder the terms: (8.3 + 7.1x) + -1(-4.91x + 3.22) = 0 Remove parenthesis around (8.3 + 7.1x) 8.3 + 7.1x + -1(-4.91x + 3.22) = 0 Reorder the terms: 8.3 + 7.1x + -1(3.22 + -4.91x) = 0 8.3 + 7.1x + (3.22 * -1 + -4.91x * -1) = 0 8.3 + 7.1x + (-3.22 + 4.91x) = 0 Reorder the terms: 8.3 + -3.22 + 7.1x + 4.91x = 0 Combine like terms: 8.3 + -3.22 = 5.08 5.08 + 7.1x + 4.91x = 0 Combine like terms: 7.1x + 4.91x = 12.01x 5.08 + 12.01x = 0 Solving 5.08 + 12.01x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.08' to each side of the equation. 5.08 + -5.08 + 12.01x = 0 + -5.08 Combine like terms: 5.08 + -5.08 = 0.00 0.00 + 12.01x = 0 + -5.08 12.01x = 0 + -5.08 Combine like terms: 0 + -5.08 = -5.08 12.01x = -5.08 Divide each side by '12.01'. x = -0.4229808493 Simplifying x = -0.4229808493
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