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Simplifying -4x + 6 = 8(1 + -7x) + -2 Reorder the terms: 6 + -4x = 8(1 + -7x) + -2 6 + -4x = (1 * 8 + -7x * 8) + -2 6 + -4x = (8 + -56x) + -2 Reorder the terms: 6 + -4x = 8 + -2 + -56x Combine like terms: 8 + -2 = 6 6 + -4x = 6 + -56x Add '-6' to each side of the equation. 6 + -6 + -4x = 6 + -6 + -56x Combine like terms: 6 + -6 = 0 0 + -4x = 6 + -6 + -56x -4x = 6 + -6 + -56x Combine like terms: 6 + -6 = 0 -4x = 0 + -56x -4x = -56x Solving -4x = -56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '56x' to each side of the equation. -4x + 56x = -56x + 56x Combine like terms: -4x + 56x = 52x 52x = -56x + 56x Combine like terms: -56x + 56x = 0 52x = 0 Divide each side by '52'. x = 0 Simplifying x = 0
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