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Simplifying 12x + 7 = 8x + 10 Reorder the terms: 7 + 12x = 8x + 10 Reorder the terms: 7 + 12x = 10 + 8x Solving 7 + 12x = 10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 7 + 12x + -8x = 10 + 8x + -8x Combine like terms: 12x + -8x = 4x 7 + 4x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 7 + 4x = 10 + 0 7 + 4x = 10 Add '-7' to each side of the equation. 7 + -7 + 4x = 10 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = 10 + -7 4x = 10 + -7 Combine like terms: 10 + -7 = 3 4x = 3 Divide each side by '4'. x = 0.75 Simplifying x = 0.75
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