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Simplifying 49(0.9 + -1x) = 5x (0.9 * 49 + -1x * 49) = 5x (44.1 + -49x) = 5x Solving 44.1 + -49x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 44.1 + -49x + -5x = 5x + -5x Combine like terms: -49x + -5x = -54x 44.1 + -54x = 5x + -5x Combine like terms: 5x + -5x = 0 44.1 + -54x = 0 Add '-44.1' to each side of the equation. 44.1 + -44.1 + -54x = 0 + -44.1 Combine like terms: 44.1 + -44.1 = 0.0 0.0 + -54x = 0 + -44.1 -54x = 0 + -44.1 Combine like terms: 0 + -44.1 = -44.1 -54x = -44.1 Divide each side by '-54'. x = 0.8166666667 Simplifying x = 0.8166666667
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