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Simplifying 0.2x + -6.5(x + -1) = 38 Reorder the terms: 0.2x + -6.5(-1 + x) = 38 0.2x + (-1 * -6.5 + x * -6.5) = 38 0.2x + (6.5 + -6.5x) = 38 Reorder the terms: 6.5 + 0.2x + -6.5x = 38 Combine like terms: 0.2x + -6.5x = -6.3x 6.5 + -6.3x = 38 Solving 6.5 + -6.3x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.5' to each side of the equation. 6.5 + -6.5 + -6.3x = 38 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + -6.3x = 38 + -6.5 -6.3x = 38 + -6.5 Combine like terms: 38 + -6.5 = 31.5 -6.3x = 31.5 Divide each side by '-6.3'. x = -5 Simplifying x = -5
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