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Simplifying 6 = -2(x + 7) + 4x Reorder the terms: 6 = -2(7 + x) + 4x 6 = (7 * -2 + x * -2) + 4x 6 = (-14 + -2x) + 4x Combine like terms: -2x + 4x = 2x 6 = -14 + 2x Solving 6 = -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 = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -2x = -14 + 0 6 + -2x = -14 Add '-6' to each side of the equation. 6 + -6 + -2x = -14 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = -14 + -6 -2x = -14 + -6 Combine like terms: -14 + -6 = -20 -2x = -20 Divide each side by '-2'. x = 10 Simplifying x = 10
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