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Simplifying -2.21x + 8.65 = 3.69x + -7.78 Reorder the terms: 8.65 + -2.21x = 3.69x + -7.78 Reorder the terms: 8.65 + -2.21x = -7.78 + 3.69x Solving 8.65 + -2.21x = -7.78 + 3.69x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.69x' to each side of the equation. 8.65 + -2.21x + -3.69x = -7.78 + 3.69x + -3.69x Combine like terms: -2.21x + -3.69x = -5.9x 8.65 + -5.9x = -7.78 + 3.69x + -3.69x Combine like terms: 3.69x + -3.69x = 0.00 8.65 + -5.9x = -7.78 + 0.00 8.65 + -5.9x = -7.78 Add '-8.65' to each side of the equation. 8.65 + -8.65 + -5.9x = -7.78 + -8.65 Combine like terms: 8.65 + -8.65 = 0.00 0.00 + -5.9x = -7.78 + -8.65 -5.9x = -7.78 + -8.65 Combine like terms: -7.78 + -8.65 = -16.43 -5.9x = -16.43 Divide each side by '-5.9'. x = 2.784745763 Simplifying x = 2.784745763
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