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Simplifying -6(-1 + -8x) + 1 = 7(1 + 4x) (-1 * -6 + -8x * -6) + 1 = 7(1 + 4x) (6 + 48x) + 1 = 7(1 + 4x) Reorder the terms: 6 + 1 + 48x = 7(1 + 4x) Combine like terms: 6 + 1 = 7 7 + 48x = 7(1 + 4x) 7 + 48x = (1 * 7 + 4x * 7) 7 + 48x = (7 + 28x) Add '-7' to each side of the equation. 7 + -7 + 48x = 7 + -7 + 28x Combine like terms: 7 + -7 = 0 0 + 48x = 7 + -7 + 28x 48x = 7 + -7 + 28x Combine like terms: 7 + -7 = 0 48x = 0 + 28x 48x = 28x Solving 48x = 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 48x + -28x = 28x + -28x Combine like terms: 48x + -28x = 20x 20x = 28x + -28x Combine like terms: 28x + -28x = 0 20x = 0 Divide each side by '20'. x = 0.0 Simplifying x = 0.0
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