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Simplifying 3x + 12 + -8x = -2x + 10 + -4x Reorder the terms: 12 + 3x + -8x = -2x + 10 + -4x Combine like terms: 3x + -8x = -5x 12 + -5x = -2x + 10 + -4x Reorder the terms: 12 + -5x = 10 + -2x + -4x Combine like terms: -2x + -4x = -6x 12 + -5x = 10 + -6x Solving 12 + -5x = 10 + -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 = 10 + -6x + 6x Combine like terms: -5x + 6x = 1x 12 + 1x = 10 + -6x + 6x Combine like terms: -6x + 6x = 0 12 + 1x = 10 + 0 12 + 1x = 10 Add '-12' to each side of the equation. 12 + -12 + 1x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 10 + -12 1x = 10 + -12 Combine like terms: 10 + -12 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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