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Simplifying -1x + 1 = 4x + 6 Reorder the terms: 1 + -1x = 4x + 6 Reorder the terms: 1 + -1x = 6 + 4x Solving 1 + -1x = 6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 1 + -1x + -4x = 6 + 4x + -4x Combine like terms: -1x + -4x = -5x 1 + -5x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + -5x = 6 + 0 1 + -5x = 6 Add '-1' to each side of the equation. 1 + -1 + -5x = 6 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 6 + -1 -5x = 6 + -1 Combine like terms: 6 + -1 = 5 -5x = 5 Divide each side by '-5'. x = -1 Simplifying x = -1
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