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