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Simplifying -2(4x + 3y) = 8(-3x + -3) (4x * -2 + 3y * -2) = 8(-3x + -3) (-8x + -6y) = 8(-3x + -3) Reorder the terms: -8x + -6y = 8(-3 + -3x) -8x + -6y = (-3 * 8 + -3x * 8) -8x + -6y = (-24 + -24x) Solving -8x + -6y = -24 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -8x + 24x + -6y = -24 + -24x + 24x Combine like terms: -8x + 24x = 16x 16x + -6y = -24 + -24x + 24x Combine like terms: -24x + 24x = 0 16x + -6y = -24 + 0 16x + -6y = -24 Add '6y' to each side of the equation. 16x + -6y + 6y = -24 + 6y Combine like terms: -6y + 6y = 0 16x + 0 = -24 + 6y 16x = -24 + 6y Divide each side by '16'. x = -1.5 + 0.375y Simplifying x = -1.5 + 0.375y
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