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Simplifying 0.6x + 7 = 0.8x + 12 Reorder the terms: 7 + 0.6x = 0.8x + 12 Reorder the terms: 7 + 0.6x = 12 + 0.8x Solving 7 + 0.6x = 12 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. 7 + 0.6x + -0.8x = 12 + 0.8x + -0.8x Combine like terms: 0.6x + -0.8x = -0.2x 7 + -0.2x = 12 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 7 + -0.2x = 12 + 0.0 7 + -0.2x = 12 Add '-7' to each side of the equation. 7 + -7 + -0.2x = 12 + -7 Combine like terms: 7 + -7 = 0 0 + -0.2x = 12 + -7 -0.2x = 12 + -7 Combine like terms: 12 + -7 = 5 -0.2x = 5 Divide each side by '-0.2'. x = -25 Simplifying x = -25
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