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Simplifying 3x + 8 = 12x + -10 Reorder the terms: 8 + 3x = 12x + -10 Reorder the terms: 8 + 3x = -10 + 12x Solving 8 + 3x = -10 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 8 + 3x + -12x = -10 + 12x + -12x Combine like terms: 3x + -12x = -9x 8 + -9x = -10 + 12x + -12x Combine like terms: 12x + -12x = 0 8 + -9x = -10 + 0 8 + -9x = -10 Add '-8' to each side of the equation. 8 + -8 + -9x = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -9x = -10 + -8 -9x = -10 + -8 Combine like terms: -10 + -8 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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