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Simplifying -3(2x + 8) = -2(2x + 1) Reorder the terms: -3(8 + 2x) = -2(2x + 1) (8 * -3 + 2x * -3) = -2(2x + 1) (-24 + -6x) = -2(2x + 1) Reorder the terms: -24 + -6x = -2(1 + 2x) -24 + -6x = (1 * -2 + 2x * -2) -24 + -6x = (-2 + -4x) Solving -24 + -6x = -2 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -24 + -6x + 4x = -2 + -4x + 4x Combine like terms: -6x + 4x = -2x -24 + -2x = -2 + -4x + 4x Combine like terms: -4x + 4x = 0 -24 + -2x = -2 + 0 -24 + -2x = -2 Add '24' to each side of the equation. -24 + 24 + -2x = -2 + 24 Combine like terms: -24 + 24 = 0 0 + -2x = -2 + 24 -2x = -2 + 24 Combine like terms: -2 + 24 = 22 -2x = 22 Divide each side by '-2'. x = -11 Simplifying x = -11
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