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Simplifying 9 + 12x + -3 = 9x + 46 + -7x Reorder the terms: 9 + -3 + 12x = 9x + 46 + -7x Combine like terms: 9 + -3 = 6 6 + 12x = 9x + 46 + -7x Reorder the terms: 6 + 12x = 46 + 9x + -7x Combine like terms: 9x + -7x = 2x 6 + 12x = 46 + 2x Solving 6 + 12x = 46 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + 12x + -2x = 46 + 2x + -2x Combine like terms: 12x + -2x = 10x 6 + 10x = 46 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 10x = 46 + 0 6 + 10x = 46 Add '-6' to each side of the equation. 6 + -6 + 10x = 46 + -6 Combine like terms: 6 + -6 = 0 0 + 10x = 46 + -6 10x = 46 + -6 Combine like terms: 46 + -6 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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