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Simplifying 6x + -1(2 + -1x) = 4(2x + -1) 6x + (2 * -1 + -1x * -1) = 4(2x + -1) 6x + (-2 + 1x) = 4(2x + -1) Reorder the terms: -2 + 6x + 1x = 4(2x + -1) Combine like terms: 6x + 1x = 7x -2 + 7x = 4(2x + -1) Reorder the terms: -2 + 7x = 4(-1 + 2x) -2 + 7x = (-1 * 4 + 2x * 4) -2 + 7x = (-4 + 8x) Solving -2 + 7x = -4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -2 + 7x + -8x = -4 + 8x + -8x Combine like terms: 7x + -8x = -1x -2 + -1x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + -1x = -4 + 0 -2 + -1x = -4 Add '2' to each side of the equation. -2 + 2 + -1x = -4 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = -4 + 2 -1x = -4 + 2 Combine like terms: -4 + 2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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