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Simplifying 3x + 1 = -5x + 9 Reorder the terms: 1 + 3x = -5x + 9 Reorder the terms: 1 + 3x = 9 + -5x Solving 1 + 3x = 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. 1 + 3x + 5x = 9 + -5x + 5x Combine like terms: 3x + 5x = 8x 1 + 8x = 9 + -5x + 5x Combine like terms: -5x + 5x = 0 1 + 8x = 9 + 0 1 + 8x = 9 Add '-1' to each side of the equation. 1 + -1 + 8x = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = 9 + -1 8x = 9 + -1 Combine like terms: 9 + -1 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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