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Simplifying 2x + 6 + -7x = 33 + -12x + 29 Reorder the terms: 6 + 2x + -7x = 33 + -12x + 29 Combine like terms: 2x + -7x = -5x 6 + -5x = 33 + -12x + 29 Reorder the terms: 6 + -5x = 33 + 29 + -12x Combine like terms: 33 + 29 = 62 6 + -5x = 62 + -12x Solving 6 + -5x = 62 + -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 + -5x + 12x = 62 + -12x + 12x Combine like terms: -5x + 12x = 7x 6 + 7x = 62 + -12x + 12x Combine like terms: -12x + 12x = 0 6 + 7x = 62 + 0 6 + 7x = 62 Add '-6' to each side of the equation. 6 + -6 + 7x = 62 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 62 + -6 7x = 62 + -6 Combine like terms: 62 + -6 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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