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Simplifying 3x + 6 = 5x + -6 + 7x Reorder the terms: 6 + 3x = 5x + -6 + 7x Reorder the terms: 6 + 3x = -6 + 5x + 7x Combine like terms: 5x + 7x = 12x 6 + 3x = -6 + 12x Solving 6 + 3x = -6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 6 + 3x + -12x = -6 + 12x + -12x Combine like terms: 3x + -12x = -9x 6 + -9x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 6 + -9x = -6 + 0 6 + -9x = -6 Add '-6' to each side of the equation. 6 + -6 + -9x = -6 + -6 Combine like terms: 6 + -6 = 0 0 + -9x = -6 + -6 -9x = -6 + -6 Combine like terms: -6 + -6 = -12 -9x = -12 Divide each side by '-9'. x = 1.333333333 Simplifying x = 1.333333333
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