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Simplifying 7x + -6 = 12x + 29 Reorder the terms: -6 + 7x = 12x + 29 Reorder the terms: -6 + 7x = 29 + 12x Solving -6 + 7x = 29 + 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 + 7x + -12x = 29 + 12x + -12x Combine like terms: 7x + -12x = -5x -6 + -5x = 29 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + -5x = 29 + 0 -6 + -5x = 29 Add '6' to each side of the equation. -6 + 6 + -5x = 29 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 29 + 6 -5x = 29 + 6 Combine like terms: 29 + 6 = 35 -5x = 35 Divide each side by '-5'. x = -7 Simplifying x = -7
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