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Simplifying 7x + -5x + 6 = -2(x + 7) Reorder the terms: 6 + 7x + -5x = -2(x + 7) Combine like terms: 7x + -5x = 2x 6 + 2x = -2(x + 7) Reorder the terms: 6 + 2x = -2(7 + x) 6 + 2x = (7 * -2 + x * -2) 6 + 2x = (-14 + -2x) Solving 6 + 2x = -14 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 6 + 2x + 2x = -14 + -2x + 2x Combine like terms: 2x + 2x = 4x 6 + 4x = -14 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 4x = -14 + 0 6 + 4x = -14 Add '-6' to each side of the equation. 6 + -6 + 4x = -14 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = -14 + -6 4x = -14 + -6 Combine like terms: -14 + -6 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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