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Simplifying 1 + -4x = 1 + 8x + -7x Combine like terms: 8x + -7x = 1x 1 + -4x = 1 + 1x Add '-1' to each side of the equation. 1 + -1 + -4x = 1 + -1 + 1x Combine like terms: 1 + -1 = 0 0 + -4x = 1 + -1 + 1x -4x = 1 + -1 + 1x Combine like terms: 1 + -1 = 0 -4x = 0 + 1x -4x = 1x Solving -4x = 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -4x + -1x = 1x + -1x Combine like terms: -4x + -1x = -5x -5x = 1x + -1x Combine like terms: 1x + -1x = 0 -5x = 0 Divide each side by '-5'. x = 0 Simplifying x = 0
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