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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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