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Simplifying 3x + 12 + -5 = 7x + 2 + x Reorder the terms: 12 + -5 + 3x = 7x + 2 + x Combine like terms: 12 + -5 = 7 7 + 3x = 7x + 2 + x Reorder the terms: 7 + 3x = 2 + 7x + x Combine like terms: 7x + x = 8x 7 + 3x = 2 + 8x Solving 7 + 3x = 2 + 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 + 3x + -8x = 2 + 8x + -8x Combine like terms: 3x + -8x = -5x 7 + -5x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 7 + -5x = 2 + 0 7 + -5x = 2 Add '-7' to each side of the equation. 7 + -7 + -5x = 2 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = 2 + -7 -5x = 2 + -7 Combine like terms: 2 + -7 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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