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Simplifying -4x + 2 = 5x + 9 Reorder the terms: 2 + -4x = 5x + 9 Reorder the terms: 2 + -4x = 9 + 5x Solving 2 + -4x = 9 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 2 + -4x + -5x = 9 + 5x + -5x Combine like terms: -4x + -5x = -9x 2 + -9x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + -9x = 9 + 0 2 + -9x = 9 Add '-2' to each side of the equation. 2 + -2 + -9x = 9 + -2 Combine like terms: 2 + -2 = 0 0 + -9x = 9 + -2 -9x = 9 + -2 Combine like terms: 9 + -2 = 7 -9x = 7 Divide each side by '-9'. x = -0.7777777778 Simplifying x = -0.7777777778
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