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Simplifying -2(1 + 4x) = -3(8 + 2x) (1 * -2 + 4x * -2) = -3(8 + 2x) (-2 + -8x) = -3(8 + 2x) -2 + -8x = (8 * -3 + 2x * -3) -2 + -8x = (-24 + -6x) Solving -2 + -8x = -24 + -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. -2 + -8x + 6x = -24 + -6x + 6x Combine like terms: -8x + 6x = -2x -2 + -2x = -24 + -6x + 6x Combine like terms: -6x + 6x = 0 -2 + -2x = -24 + 0 -2 + -2x = -24 Add '2' to each side of the equation. -2 + 2 + -2x = -24 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = -24 + 2 -2x = -24 + 2 Combine like terms: -24 + 2 = -22 -2x = -22 Divide each side by '-2'. x = 11 Simplifying x = 11
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