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Simplifying 6x + 1.5(25 + -1x) = 100 6x + (25 * 1.5 + -1x * 1.5) = 100 6x + (37.5 + -1.5x) = 100 Reorder the terms: 37.5 + 6x + -1.5x = 100 Combine like terms: 6x + -1.5x = 4.5x 37.5 + 4.5x = 100 Solving 37.5 + 4.5x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-37.5' to each side of the equation. 37.5 + -37.5 + 4.5x = 100 + -37.5 Combine like terms: 37.5 + -37.5 = 0.0 0.0 + 4.5x = 100 + -37.5 4.5x = 100 + -37.5 Combine like terms: 100 + -37.5 = 62.5 4.5x = 62.5 Divide each side by '4.5'. x = 13.88888889 Simplifying x = 13.88888889
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