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Simplifying 1.545x + 12.904 = 9.143x + -6.084 Reorder the terms: 12.904 + 1.545x = 9.143x + -6.084 Reorder the terms: 12.904 + 1.545x = -6.084 + 9.143x Solving 12.904 + 1.545x = -6.084 + 9.143x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.143x' to each side of the equation. 12.904 + 1.545x + -9.143x = -6.084 + 9.143x + -9.143x Combine like terms: 1.545x + -9.143x = -7.598x 12.904 + -7.598x = -6.084 + 9.143x + -9.143x Combine like terms: 9.143x + -9.143x = 0.000 12.904 + -7.598x = -6.084 + 0.000 12.904 + -7.598x = -6.084 Add '-12.904' to each side of the equation. 12.904 + -12.904 + -7.598x = -6.084 + -12.904 Combine like terms: 12.904 + -12.904 = 0.000 0.000 + -7.598x = -6.084 + -12.904 -7.598x = -6.084 + -12.904 Combine like terms: -6.084 + -12.904 = -18.988 -7.598x = -18.988 Divide each side by '-7.598'. x = 2.499078705 Simplifying x = 2.499078705
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