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Simplifying 8.5x + 12 = 7.5x + 3 Reorder the terms: 12 + 8.5x = 7.5x + 3 Reorder the terms: 12 + 8.5x = 3 + 7.5x Solving 12 + 8.5x = 3 + 7.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5x' to each side of the equation. 12 + 8.5x + -7.5x = 3 + 7.5x + -7.5x Combine like terms: 8.5x + -7.5x = 1x 12 + 1x = 3 + 7.5x + -7.5x Combine like terms: 7.5x + -7.5x = 0.0 12 + 1x = 3 + 0.0 12 + 1x = 3 Add '-12' to each side of the equation. 12 + -12 + 1x = 3 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 3 + -12 1x = 3 + -12 Combine like terms: 3 + -12 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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