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Simplifying -8(5x + 3) = -6(8 + 6x) Reorder the terms: -8(3 + 5x) = -6(8 + 6x) (3 * -8 + 5x * -8) = -6(8 + 6x) (-24 + -40x) = -6(8 + 6x) -24 + -40x = (8 * -6 + 6x * -6) -24 + -40x = (-48 + -36x) Solving -24 + -40x = -48 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. -24 + -40x + 36x = -48 + -36x + 36x Combine like terms: -40x + 36x = -4x -24 + -4x = -48 + -36x + 36x Combine like terms: -36x + 36x = 0 -24 + -4x = -48 + 0 -24 + -4x = -48 Add '24' to each side of the equation. -24 + 24 + -4x = -48 + 24 Combine like terms: -24 + 24 = 0 0 + -4x = -48 + 24 -4x = -48 + 24 Combine like terms: -48 + 24 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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