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Simplifying -5x + 1 = 4x + -5 Reorder the terms: 1 + -5x = 4x + -5 Reorder the terms: 1 + -5x = -5 + 4x Solving 1 + -5x = -5 + 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 + -5x + -4x = -5 + 4x + -4x Combine like terms: -5x + -4x = -9x 1 + -9x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + -9x = -5 + 0 1 + -9x = -5 Add '-1' to each side of the equation. 1 + -1 + -9x = -5 + -1 Combine like terms: 1 + -1 = 0 0 + -9x = -5 + -1 -9x = -5 + -1 Combine like terms: -5 + -1 = -6 -9x = -6 Divide each side by '-9'. x = 0.6666666667 Simplifying x = 0.6666666667
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