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Simplifying 0.26x + 0.15(8x + -100) = 14.2 Reorder the terms: 0.26x + 0.15(-100 + 8x) = 14.2 0.26x + (-100 * 0.15 + 8x * 0.15) = 14.2 0.26x + (-15 + 1.2x) = 14.2 Reorder the terms: -15 + 0.26x + 1.2x = 14.2 Combine like terms: 0.26x + 1.2x = 1.46x -15 + 1.46x = 14.2 Solving -15 + 1.46x = 14.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 1.46x = 14.2 + 15 Combine like terms: -15 + 15 = 0 0 + 1.46x = 14.2 + 15 1.46x = 14.2 + 15 Combine like terms: 14.2 + 15 = 29.2 1.46x = 29.2 Divide each side by '1.46'. x = 20 Simplifying x = 20
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