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Simplifying 3x + 51x + 969 + 40 = 30x + -1890 + 659x Reorder the terms: 969 + 40 + 3x + 51x = 30x + -1890 + 659x Combine like terms: 969 + 40 = 1009 1009 + 3x + 51x = 30x + -1890 + 659x Combine like terms: 3x + 51x = 54x 1009 + 54x = 30x + -1890 + 659x Reorder the terms: 1009 + 54x = -1890 + 30x + 659x Combine like terms: 30x + 659x = 689x 1009 + 54x = -1890 + 689x Solving 1009 + 54x = -1890 + 689x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-689x' to each side of the equation. 1009 + 54x + -689x = -1890 + 689x + -689x Combine like terms: 54x + -689x = -635x 1009 + -635x = -1890 + 689x + -689x Combine like terms: 689x + -689x = 0 1009 + -635x = -1890 + 0 1009 + -635x = -1890 Add '-1009' to each side of the equation. 1009 + -1009 + -635x = -1890 + -1009 Combine like terms: 1009 + -1009 = 0 0 + -635x = -1890 + -1009 -635x = -1890 + -1009 Combine like terms: -1890 + -1009 = -2899 -635x = -2899 Divide each side by '-635'. x = 4.565354331 Simplifying x = 4.565354331
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