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Simplifying -1(1 + -1x) = -7(1 + 4x) + 6 (1 * -1 + -1x * -1) = -7(1 + 4x) + 6 (-1 + 1x) = -7(1 + 4x) + 6 -1 + 1x = (1 * -7 + 4x * -7) + 6 -1 + 1x = (-7 + -28x) + 6 Reorder the terms: -1 + 1x = -7 + 6 + -28x Combine like terms: -7 + 6 = -1 -1 + 1x = -1 + -28x Add '1' to each side of the equation. -1 + 1 + 1x = -1 + 1 + -28x Combine like terms: -1 + 1 = 0 0 + 1x = -1 + 1 + -28x 1x = -1 + 1 + -28x Combine like terms: -1 + 1 = 0 1x = 0 + -28x 1x = -28x Solving 1x = -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. 1x + 28x = -28x + 28x Combine like terms: 1x + 28x = 29x 29x = -28x + 28x Combine like terms: -28x + 28x = 0 29x = 0 Divide each side by '29'. x = 0 Simplifying x = 0
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