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Simplifying 0.9(6.2x + -5.9) = 3.4(3.4x + 4.3) + -1.8 Reorder the terms: 0.9(-5.9 + 6.2x) = 3.4(3.4x + 4.3) + -1.8 (-5.9 * 0.9 + 6.2x * 0.9) = 3.4(3.4x + 4.3) + -1.8 (-5.31 + 5.58x) = 3.4(3.4x + 4.3) + -1.8 Reorder the terms: -5.31 + 5.58x = 3.4(4.3 + 3.4x) + -1.8 -5.31 + 5.58x = (4.3 * 3.4 + 3.4x * 3.4) + -1.8 -5.31 + 5.58x = (14.62 + 11.56x) + -1.8 Reorder the terms: -5.31 + 5.58x = 14.62 + -1.8 + 11.56x Combine like terms: 14.62 + -1.8 = 12.82 -5.31 + 5.58x = 12.82 + 11.56x Solving -5.31 + 5.58x = 12.82 + 11.56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11.56x' to each side of the equation. -5.31 + 5.58x + -11.56x = 12.82 + 11.56x + -11.56x Combine like terms: 5.58x + -11.56x = -5.98x -5.31 + -5.98x = 12.82 + 11.56x + -11.56x Combine like terms: 11.56x + -11.56x = 0.00 -5.31 + -5.98x = 12.82 + 0.00 -5.31 + -5.98x = 12.82 Add '5.31' to each side of the equation. -5.31 + 5.31 + -5.98x = 12.82 + 5.31 Combine like terms: -5.31 + 5.31 = 0.00 0.00 + -5.98x = 12.82 + 5.31 -5.98x = 12.82 + 5.31 Combine like terms: 12.82 + 5.31 = 18.13 -5.98x = 18.13 Divide each side by '-5.98'. x = -3.031772575 Simplifying x = -3.031772575
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