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Simplifying 6 + -7x + 3 = -34 + 5x + -11 Reorder the terms: 6 + 3 + -7x = -34 + 5x + -11 Combine like terms: 6 + 3 = 9 9 + -7x = -34 + 5x + -11 Reorder the terms: 9 + -7x = -34 + -11 + 5x Combine like terms: -34 + -11 = -45 9 + -7x = -45 + 5x Solving 9 + -7x = -45 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 9 + -7x + -5x = -45 + 5x + -5x Combine like terms: -7x + -5x = -12x 9 + -12x = -45 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + -12x = -45 + 0 9 + -12x = -45 Add '-9' to each side of the equation. 9 + -9 + -12x = -45 + -9 Combine like terms: 9 + -9 = 0 0 + -12x = -45 + -9 -12x = -45 + -9 Combine like terms: -45 + -9 = -54 -12x = -54 Divide each side by '-12'. x = 4.5 Simplifying x = 4.5
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