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Simplifying 5x + -6x + -3 = 12x + -8x + 12 Reorder the terms: -3 + 5x + -6x = 12x + -8x + 12 Combine like terms: 5x + -6x = -1x -3 + -1x = 12x + -8x + 12 Reorder the terms: -3 + -1x = 12 + 12x + -8x Combine like terms: 12x + -8x = 4x -3 + -1x = 12 + 4x Solving -3 + -1x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -3 + -1x + -4x = 12 + 4x + -4x Combine like terms: -1x + -4x = -5x -3 + -5x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + -5x = 12 + 0 -3 + -5x = 12 Add '3' to each side of the equation. -3 + 3 + -5x = 12 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = 12 + 3 -5x = 12 + 3 Combine like terms: 12 + 3 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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