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Simplifying 3x + 1 + 3x + -1 + 3x + -2 = 5x + 5x + -1 + 5x + -2 Reorder the terms: 1 + -1 + -2 + 3x + 3x + 3x = 5x + 5x + -1 + 5x + -2 Combine like terms: 1 + -1 = 0 0 + -2 + 3x + 3x + 3x = 5x + 5x + -1 + 5x + -2 -2 + 3x + 3x + 3x = 5x + 5x + -1 + 5x + -2 Combine like terms: 3x + 3x = 6x -2 + 6x + 3x = 5x + 5x + -1 + 5x + -2 Combine like terms: 6x + 3x = 9x -2 + 9x = 5x + 5x + -1 + 5x + -2 Reorder the terms: -2 + 9x = -1 + -2 + 5x + 5x + 5x Combine like terms: -1 + -2 = -3 -2 + 9x = -3 + 5x + 5x + 5x Combine like terms: 5x + 5x = 10x -2 + 9x = -3 + 10x + 5x Combine like terms: 10x + 5x = 15x -2 + 9x = -3 + 15x Solving -2 + 9x = -3 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -2 + 9x + -15x = -3 + 15x + -15x Combine like terms: 9x + -15x = -6x -2 + -6x = -3 + 15x + -15x Combine like terms: 15x + -15x = 0 -2 + -6x = -3 + 0 -2 + -6x = -3 Add '2' to each side of the equation. -2 + 2 + -6x = -3 + 2 Combine like terms: -2 + 2 = 0 0 + -6x = -3 + 2 -6x = -3 + 2 Combine like terms: -3 + 2 = -1 -6x = -1 Divide each side by '-6'. x = 0.1666666667 Simplifying x = 0.1666666667
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