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Simplifying 10x + -6 + -2x = 18 + -4x + 12 Reorder the terms: -6 + 10x + -2x = 18 + -4x + 12 Combine like terms: 10x + -2x = 8x -6 + 8x = 18 + -4x + 12 Reorder the terms: -6 + 8x = 18 + 12 + -4x Combine like terms: 18 + 12 = 30 -6 + 8x = 30 + -4x Solving -6 + 8x = 30 + -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. -6 + 8x + 4x = 30 + -4x + 4x Combine like terms: 8x + 4x = 12x -6 + 12x = 30 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + 12x = 30 + 0 -6 + 12x = 30 Add '6' to each side of the equation. -6 + 6 + 12x = 30 + 6 Combine like terms: -6 + 6 = 0 0 + 12x = 30 + 6 12x = 30 + 6 Combine like terms: 30 + 6 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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