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Simplifying 7.9x + -14.5 = 12.9x + 7 Reorder the terms: -14.5 + 7.9x = 12.9x + 7 Reorder the terms: -14.5 + 7.9x = 7 + 12.9x Solving -14.5 + 7.9x = 7 + 12.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12.9x' to each side of the equation. -14.5 + 7.9x + -12.9x = 7 + 12.9x + -12.9x Combine like terms: 7.9x + -12.9x = -5x -14.5 + -5x = 7 + 12.9x + -12.9x Combine like terms: 12.9x + -12.9x = 0.0 -14.5 + -5x = 7 + 0.0 -14.5 + -5x = 7 Add '14.5' to each side of the equation. -14.5 + 14.5 + -5x = 7 + 14.5 Combine like terms: -14.5 + 14.5 = 0.0 0.0 + -5x = 7 + 14.5 -5x = 7 + 14.5 Combine like terms: 7 + 14.5 = 21.5 -5x = 21.5 Divide each side by '-5'. x = -4.3 Simplifying x = -4.3
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