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Simplifying 4 + -5(x + -6) + -7x + 2 = 0 Reorder the terms: 4 + -5(-6 + x) + -7x + 2 = 0 4 + (-6 * -5 + x * -5) + -7x + 2 = 0 4 + (30 + -5x) + -7x + 2 = 0 Reorder the terms: 4 + 30 + 2 + -5x + -7x = 0 Combine like terms: 4 + 30 = 34 34 + 2 + -5x + -7x = 0 Combine like terms: 34 + 2 = 36 36 + -5x + -7x = 0 Combine like terms: -5x + -7x = -12x 36 + -12x = 0 Solving 36 + -12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -12x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -12x = 0 + -36 -12x = 0 + -36 Combine like terms: 0 + -36 = -36 -12x = -36 Divide each side by '-12'. x = 3 Simplifying x = 3
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