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Simplifying 12x + 8 + -4x + -18 = 6x + 10 + -4x + 16 + -6x Reorder the terms: 8 + -18 + 12x + -4x = 6x + 10 + -4x + 16 + -6x Combine like terms: 8 + -18 = -10 -10 + 12x + -4x = 6x + 10 + -4x + 16 + -6x Combine like terms: 12x + -4x = 8x -10 + 8x = 6x + 10 + -4x + 16 + -6x Reorder the terms: -10 + 8x = 10 + 16 + 6x + -4x + -6x Combine like terms: 10 + 16 = 26 -10 + 8x = 26 + 6x + -4x + -6x Combine like terms: 6x + -4x = 2x -10 + 8x = 26 + 2x + -6x Combine like terms: 2x + -6x = -4x -10 + 8x = 26 + -4x Solving -10 + 8x = 26 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -10 + 8x + 4x = 26 + -4x + 4x Combine like terms: 8x + 4x = 12x -10 + 12x = 26 + -4x + 4x Combine like terms: -4x + 4x = 0 -10 + 12x = 26 + 0 -10 + 12x = 26 Add '10' to each side of the equation. -10 + 10 + 12x = 26 + 10 Combine like terms: -10 + 10 = 0 0 + 12x = 26 + 10 12x = 26 + 10 Combine like terms: 26 + 10 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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