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