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Simplifying 3x + 4 = -2x + 49 Reorder the terms: 4 + 3x = -2x + 49 Reorder the terms: 4 + 3x = 49 + -2x Solving 4 + 3x = 49 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 4 + 3x + 2x = 49 + -2x + 2x Combine like terms: 3x + 2x = 5x 4 + 5x = 49 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 5x = 49 + 0 4 + 5x = 49 Add '-4' to each side of the equation. 4 + -4 + 5x = 49 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 49 + -4 5x = 49 + -4 Combine like terms: 49 + -4 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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