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Simplifying 3x + 12 + 2x = 10x + 7 Reorder the terms: 12 + 3x + 2x = 10x + 7 Combine like terms: 3x + 2x = 5x 12 + 5x = 10x + 7 Reorder the terms: 12 + 5x = 7 + 10x Solving 12 + 5x = 7 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 12 + 5x + -10x = 7 + 10x + -10x Combine like terms: 5x + -10x = -5x 12 + -5x = 7 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -5x = 7 + 0 12 + -5x = 7 Add '-12' to each side of the equation. 12 + -12 + -5x = 7 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = 7 + -12 -5x = 7 + -12 Combine like terms: 7 + -12 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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