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Simplifying 6 + -7x + -4 = -47 + 5x + -11 Reorder the terms: 6 + -4 + -7x = -47 + 5x + -11 Combine like terms: 6 + -4 = 2 2 + -7x = -47 + 5x + -11 Reorder the terms: 2 + -7x = -47 + -11 + 5x Combine like terms: -47 + -11 = -58 2 + -7x = -58 + 5x Solving 2 + -7x = -58 + 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. 2 + -7x + -5x = -58 + 5x + -5x Combine like terms: -7x + -5x = -12x 2 + -12x = -58 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + -12x = -58 + 0 2 + -12x = -58 Add '-2' to each side of the equation. 2 + -2 + -12x = -58 + -2 Combine like terms: 2 + -2 = 0 0 + -12x = -58 + -2 -12x = -58 + -2 Combine like terms: -58 + -2 = -60 -12x = -60 Divide each side by '-12'. x = 5 Simplifying x = 5
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