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Simplifying 3x + -9 + 2x + -3 = 6x + 12 + -8 Reorder the terms: -9 + -3 + 3x + 2x = 6x + 12 + -8 Combine like terms: -9 + -3 = -12 -12 + 3x + 2x = 6x + 12 + -8 Combine like terms: 3x + 2x = 5x -12 + 5x = 6x + 12 + -8 Reorder the terms: -12 + 5x = 12 + -8 + 6x Combine like terms: 12 + -8 = 4 -12 + 5x = 4 + 6x Solving -12 + 5x = 4 + 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. -12 + 5x + -6x = 4 + 6x + -6x Combine like terms: 5x + -6x = -1x -12 + -1x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -1x = 4 + 0 -12 + -1x = 4 Add '12' to each side of the equation. -12 + 12 + -1x = 4 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 4 + 12 -1x = 4 + 12 Combine like terms: 4 + 12 = 16 -1x = 16 Divide each side by '-1'. x = -16 Simplifying x = -16
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