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Simplifying 1.25x + 5 = 13.5x + 14 Reorder the terms: 5 + 1.25x = 13.5x + 14 Reorder the terms: 5 + 1.25x = 14 + 13.5x Solving 5 + 1.25x = 14 + 13.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13.5x' to each side of the equation. 5 + 1.25x + -13.5x = 14 + 13.5x + -13.5x Combine like terms: 1.25x + -13.5x = -12.25x 5 + -12.25x = 14 + 13.5x + -13.5x Combine like terms: 13.5x + -13.5x = 0.0 5 + -12.25x = 14 + 0.0 5 + -12.25x = 14 Add '-5' to each side of the equation. 5 + -5 + -12.25x = 14 + -5 Combine like terms: 5 + -5 = 0 0 + -12.25x = 14 + -5 -12.25x = 14 + -5 Combine like terms: 14 + -5 = 9 -12.25x = 9 Divide each side by '-12.25'. x = -0.7346938776 Simplifying x = -0.7346938776
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