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Simplifying 3x + 10 + 8x = 12 + 12x + -4x + -8 Reorder the terms: 10 + 3x + 8x = 12 + 12x + -4x + -8 Combine like terms: 3x + 8x = 11x 10 + 11x = 12 + 12x + -4x + -8 Reorder the terms: 10 + 11x = 12 + -8 + 12x + -4x Combine like terms: 12 + -8 = 4 10 + 11x = 4 + 12x + -4x Combine like terms: 12x + -4x = 8x 10 + 11x = 4 + 8x Solving 10 + 11x = 4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 10 + 11x + -8x = 4 + 8x + -8x Combine like terms: 11x + -8x = 3x 10 + 3x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + 3x = 4 + 0 10 + 3x = 4 Add '-10' to each side of the equation. 10 + -10 + 3x = 4 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 4 + -10 3x = 4 + -10 Combine like terms: 4 + -10 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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