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Simplifying -0.26x + 284 = 0.2x + 10 Reorder the terms: 284 + -0.26x = 0.2x + 10 Reorder the terms: 284 + -0.26x = 10 + 0.2x Solving 284 + -0.26x = 10 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 284 + -0.26x + -0.2x = 10 + 0.2x + -0.2x Combine like terms: -0.26x + -0.2x = -0.46x 284 + -0.46x = 10 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 284 + -0.46x = 10 + 0.0 284 + -0.46x = 10 Add '-284' to each side of the equation. 284 + -284 + -0.46x = 10 + -284 Combine like terms: 284 + -284 = 0 0 + -0.46x = 10 + -284 -0.46x = 10 + -284 Combine like terms: 10 + -284 = -274 -0.46x = -274 Divide each side by '-0.46'. x = 595.6521739 Simplifying x = 595.6521739
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