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Simplifying -5x + 9 = 4x + -6 Reorder the terms: 9 + -5x = 4x + -6 Reorder the terms: 9 + -5x = -6 + 4x Solving 9 + -5x = -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. 9 + -5x + -4x = -6 + 4x + -4x Combine like terms: -5x + -4x = -9x 9 + -9x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 9 + -9x = -6 + 0 9 + -9x = -6 Add '-9' to each side of the equation. 9 + -9 + -9x = -6 + -9 Combine like terms: 9 + -9 = 0 0 + -9x = -6 + -9 -9x = -6 + -9 Combine like terms: -6 + -9 = -15 -9x = -15 Divide each side by '-9'. x = 1.666666667 Simplifying x = 1.666666667
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