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Simplifying 12 + 3x + -7 = 8x + 5 + -2x Reorder the terms: 12 + -7 + 3x = 8x + 5 + -2x Combine like terms: 12 + -7 = 5 5 + 3x = 8x + 5 + -2x Reorder the terms: 5 + 3x = 5 + 8x + -2x Combine like terms: 8x + -2x = 6x 5 + 3x = 5 + 6x Add '-5' to each side of the equation. 5 + -5 + 3x = 5 + -5 + 6x Combine like terms: 5 + -5 = 0 0 + 3x = 5 + -5 + 6x 3x = 5 + -5 + 6x Combine like terms: 5 + -5 = 0 3x = 0 + 6x 3x = 6x Solving 3x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 3x + -6x = 6x + -6x Combine like terms: 3x + -6x = -3x -3x = 6x + -6x Combine like terms: 6x + -6x = 0 -3x = 0 Divide each side by '-3'. x = 0 Simplifying x = 0
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