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Simplifying 3x + 6 + -10 = 2x + -12 Reorder the terms: 6 + -10 + 3x = 2x + -12 Combine like terms: 6 + -10 = -4 -4 + 3x = 2x + -12 Reorder the terms: -4 + 3x = -12 + 2x Solving -4 + 3x = -12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -4 + 3x + -2x = -12 + 2x + -2x Combine like terms: 3x + -2x = 1x -4 + 1x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + 1x = -12 + 0 -4 + 1x = -12 Add '4' to each side of the equation. -4 + 4 + 1x = -12 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = -12 + 4 1x = -12 + 4 Combine like terms: -12 + 4 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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