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Simplifying -8 + 14 = -2(4x + -7) Combine like terms: -8 + 14 = 6 6 = -2(4x + -7) Reorder the terms: 6 = -2(-7 + 4x) 6 = (-7 * -2 + 4x * -2) 6 = (14 + -8x) Solving 6 = 14 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 6 + 8x = 14 + -8x + 8x Combine like terms: -8x + 8x = 0 6 + 8x = 14 + 0 6 + 8x = 14 Add '-6' to each side of the equation. 6 + -6 + 8x = 14 + -6 Combine like terms: 6 + -6 = 0 0 + 8x = 14 + -6 8x = 14 + -6 Combine like terms: 14 + -6 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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