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Simplifying 3x + 2 + 5x + -1 = 5x + -3x + 5 Reorder the terms: 2 + -1 + 3x + 5x = 5x + -3x + 5 Combine like terms: 2 + -1 = 1 1 + 3x + 5x = 5x + -3x + 5 Combine like terms: 3x + 5x = 8x 1 + 8x = 5x + -3x + 5 Reorder the terms: 1 + 8x = 5 + 5x + -3x Combine like terms: 5x + -3x = 2x 1 + 8x = 5 + 2x Solving 1 + 8x = 5 + 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. 1 + 8x + -2x = 5 + 2x + -2x Combine like terms: 8x + -2x = 6x 1 + 6x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 6x = 5 + 0 1 + 6x = 5 Add '-1' to each side of the equation. 1 + -1 + 6x = 5 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = 5 + -1 6x = 5 + -1 Combine like terms: 5 + -1 = 4 6x = 4 Divide each side by '6'. x = 0.6666666667 Simplifying x = 0.6666666667
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