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Simplifying 12 + 4x + -7 = 8x + 5 + -3x Reorder the terms: 12 + -7 + 4x = 8x + 5 + -3x Combine like terms: 12 + -7 = 5 5 + 4x = 8x + 5 + -3x Reorder the terms: 5 + 4x = 5 + 8x + -3x Combine like terms: 8x + -3x = 5x 5 + 4x = 5 + 5x Add '-5' to each side of the equation. 5 + -5 + 4x = 5 + -5 + 5x Combine like terms: 5 + -5 = 0 0 + 4x = 5 + -5 + 5x 4x = 5 + -5 + 5x Combine like terms: 5 + -5 = 0 4x = 0 + 5x 4x = 5x Solving 4x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 4x + -5x = 5x + -5x Combine like terms: 4x + -5x = -1x -1x = 5x + -5x Combine like terms: 5x + -5x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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