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Simplifying 5.13(2x + -7) = 0.09 + 5.46x Reorder the terms: 5.13(-7 + 2x) = 0.09 + 5.46x (-7 * 5.13 + 2x * 5.13) = 0.09 + 5.46x (-35.91 + 10.26x) = 0.09 + 5.46x Solving -35.91 + 10.26x = 0.09 + 5.46x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.46x' to each side of the equation. -35.91 + 10.26x + -5.46x = 0.09 + 5.46x + -5.46x Combine like terms: 10.26x + -5.46x = 4.8x -35.91 + 4.8x = 0.09 + 5.46x + -5.46x Combine like terms: 5.46x + -5.46x = 0.00 -35.91 + 4.8x = 0.09 + 0.00 -35.91 + 4.8x = 0.09 Add '35.91' to each side of the equation. -35.91 + 35.91 + 4.8x = 0.09 + 35.91 Combine like terms: -35.91 + 35.91 = 0.00 0.00 + 4.8x = 0.09 + 35.91 4.8x = 0.09 + 35.91 Combine like terms: 0.09 + 35.91 = 36 4.8x = 36 Divide each side by '4.8'. x = 7.5 Simplifying x = 7.5
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