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