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Simplifying 2.5x + 8 = 4x + -12.5 Reorder the terms: 8 + 2.5x = 4x + -12.5 Reorder the terms: 8 + 2.5x = -12.5 + 4x Solving 8 + 2.5x = -12.5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8 + 2.5x + -4x = -12.5 + 4x + -4x Combine like terms: 2.5x + -4x = -1.5x 8 + -1.5x = -12.5 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -1.5x = -12.5 + 0 8 + -1.5x = -12.5 Add '-8' to each side of the equation. 8 + -8 + -1.5x = -12.5 + -8 Combine like terms: 8 + -8 = 0 0 + -1.5x = -12.5 + -8 -1.5x = -12.5 + -8 Combine like terms: -12.5 + -8 = -20.5 -1.5x = -20.5 Divide each side by '-1.5'. x = 13.66666667 Simplifying x = 13.66666667
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