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Simplifying 4x + 6 = -71 + -7x Reorder the terms: 6 + 4x = -71 + -7x Solving 6 + 4x = -71 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 6 + 4x + 7x = -71 + -7x + 7x Combine like terms: 4x + 7x = 11x 6 + 11x = -71 + -7x + 7x Combine like terms: -7x + 7x = 0 6 + 11x = -71 + 0 6 + 11x = -71 Add '-6' to each side of the equation. 6 + -6 + 11x = -71 + -6 Combine like terms: 6 + -6 = 0 0 + 11x = -71 + -6 11x = -71 + -6 Combine like terms: -71 + -6 = -77 11x = -77 Divide each side by '11'. x = -7 Simplifying x = -7
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