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Simplifying 6x + -3 + 6x + -3 = 10x + 12 Reorder the terms: -3 + -3 + 6x + 6x = 10x + 12 Combine like terms: -3 + -3 = -6 -6 + 6x + 6x = 10x + 12 Combine like terms: 6x + 6x = 12x -6 + 12x = 10x + 12 Reorder the terms: -6 + 12x = 12 + 10x Solving -6 + 12x = 12 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -6 + 12x + -10x = 12 + 10x + -10x Combine like terms: 12x + -10x = 2x -6 + 2x = 12 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + 2x = 12 + 0 -6 + 2x = 12 Add '6' to each side of the equation. -6 + 6 + 2x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 12 + 6 2x = 12 + 6 Combine like terms: 12 + 6 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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