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Simplifying 2x + 4 = -1(7x + 6) Reorder the terms: 4 + 2x = -1(7x + 6) Reorder the terms: 4 + 2x = -1(6 + 7x) 4 + 2x = (6 * -1 + 7x * -1) 4 + 2x = (-6 + -7x) Solving 4 + 2x = -6 + -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. 4 + 2x + 7x = -6 + -7x + 7x Combine like terms: 2x + 7x = 9x 4 + 9x = -6 + -7x + 7x Combine like terms: -7x + 7x = 0 4 + 9x = -6 + 0 4 + 9x = -6 Add '-4' to each side of the equation. 4 + -4 + 9x = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 9x = -6 + -4 9x = -6 + -4 Combine like terms: -6 + -4 = -10 9x = -10 Divide each side by '9'. x = -1.111111111 Simplifying x = -1.111111111
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