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