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Simplifying -3.5(-1.26x + -6.6) = 5.1x + 20.34 Reorder the terms: -3.5(-6.6 + -1.26x) = 5.1x + 20.34 (-6.6 * -3.5 + -1.26x * -3.5) = 5.1x + 20.34 (23.1 + 4.41x) = 5.1x + 20.34 Reorder the terms: 23.1 + 4.41x = 20.34 + 5.1x Solving 23.1 + 4.41x = 20.34 + 5.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.1x' to each side of the equation. 23.1 + 4.41x + -5.1x = 20.34 + 5.1x + -5.1x Combine like terms: 4.41x + -5.1x = -0.69x 23.1 + -0.69x = 20.34 + 5.1x + -5.1x Combine like terms: 5.1x + -5.1x = 0.0 23.1 + -0.69x = 20.34 + 0.0 23.1 + -0.69x = 20.34 Add '-23.1' to each side of the equation. 23.1 + -23.1 + -0.69x = 20.34 + -23.1 Combine like terms: 23.1 + -23.1 = 0.0 0.0 + -0.69x = 20.34 + -23.1 -0.69x = 20.34 + -23.1 Combine like terms: 20.34 + -23.1 = -2.76 -0.69x = -2.76 Divide each side by '-0.69'. x = 4 Simplifying x = 4
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