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Simplifying 3x + 1 + -2x + -2 = -6x + 7 Reorder the terms: 1 + -2 + 3x + -2x = -6x + 7 Combine like terms: 1 + -2 = -1 -1 + 3x + -2x = -6x + 7 Combine like terms: 3x + -2x = 1x -1 + 1x = -6x + 7 Reorder the terms: -1 + 1x = 7 + -6x Solving -1 + 1x = 7 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -1 + 1x + 6x = 7 + -6x + 6x Combine like terms: 1x + 6x = 7x -1 + 7x = 7 + -6x + 6x Combine like terms: -6x + 6x = 0 -1 + 7x = 7 + 0 -1 + 7x = 7 Add '1' to each side of the equation. -1 + 1 + 7x = 7 + 1 Combine like terms: -1 + 1 = 0 0 + 7x = 7 + 1 7x = 7 + 1 Combine like terms: 7 + 1 = 8 7x = 8 Divide each side by '7'. x = 1.142857143 Simplifying x = 1.142857143
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