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Simplifying -2(3x + 1) + -2x = -4(2X + 1) Reorder the terms: -2(1 + 3x) + -2x = -4(2X + 1) (1 * -2 + 3x * -2) + -2x = -4(2X + 1) (-2 + -6x) + -2x = -4(2X + 1) Combine like terms: -6x + -2x = -8x -2 + -8x = -4(2X + 1) Reorder the terms: -2 + -8x = -4(1 + 2X) -2 + -8x = (1 * -4 + 2X * -4) -2 + -8x = (-4 + -8X) Solving -2 + -8x = -4 + -8X Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -8x = -4 + 2 + -8X Combine like terms: -2 + 2 = 0 0 + -8x = -4 + 2 + -8X -8x = -4 + 2 + -8X Combine like terms: -4 + 2 = -2 -8x = -2 + -8X Divide each side by '-8'. x = 0.25 + X Simplifying x = 0.25 + X
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