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Simplifying 0.4x + -8.5(x + -1) = 49 Reorder the terms: 0.4x + -8.5(-1 + x) = 49 0.4x + (-1 * -8.5 + x * -8.5) = 49 0.4x + (8.5 + -8.5x) = 49 Reorder the terms: 8.5 + 0.4x + -8.5x = 49 Combine like terms: 0.4x + -8.5x = -8.1x 8.5 + -8.1x = 49 Solving 8.5 + -8.1x = 49 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8.5' to each side of the equation. 8.5 + -8.5 + -8.1x = 49 + -8.5 Combine like terms: 8.5 + -8.5 = 0.0 0.0 + -8.1x = 49 + -8.5 -8.1x = 49 + -8.5 Combine like terms: 49 + -8.5 = 40.5 -8.1x = 40.5 Divide each side by '-8.1'. x = -5 Simplifying x = -5
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