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Simplifying -6 + -8(1 + 7x) = 2(-7 + 8x) + 4x -6 + (1 * -8 + 7x * -8) = 2(-7 + 8x) + 4x -6 + (-8 + -56x) = 2(-7 + 8x) + 4x Combine like terms: -6 + -8 = -14 -14 + -56x = 2(-7 + 8x) + 4x -14 + -56x = (-7 * 2 + 8x * 2) + 4x -14 + -56x = (-14 + 16x) + 4x Combine like terms: 16x + 4x = 20x -14 + -56x = -14 + 20x Add '14' to each side of the equation. -14 + 14 + -56x = -14 + 14 + 20x Combine like terms: -14 + 14 = 0 0 + -56x = -14 + 14 + 20x -56x = -14 + 14 + 20x Combine like terms: -14 + 14 = 0 -56x = 0 + 20x -56x = 20x Solving -56x = 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -56x + -20x = 20x + -20x Combine like terms: -56x + -20x = -76x -76x = 20x + -20x Combine like terms: 20x + -20x = 0 -76x = 0 Divide each side by '-76'. x = 0 Simplifying x = 0
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