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Simplifying 9.5x + 12 = 2.5x + 5 Reorder the terms: 12 + 9.5x = 2.5x + 5 Reorder the terms: 12 + 9.5x = 5 + 2.5x Solving 12 + 9.5x = 5 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. 12 + 9.5x + -2.5x = 5 + 2.5x + -2.5x Combine like terms: 9.5x + -2.5x = 7x 12 + 7x = 5 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 12 + 7x = 5 + 0.0 12 + 7x = 5 Add '-12' to each side of the equation. 12 + -12 + 7x = 5 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = 5 + -12 7x = 5 + -12 Combine like terms: 5 + -12 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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