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