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Simplifying -2(4x + 3) = 6(-4x + -3) Reorder the terms: -2(3 + 4x) = 6(-4x + -3) (3 * -2 + 4x * -2) = 6(-4x + -3) (-6 + -8x) = 6(-4x + -3) Reorder the terms: -6 + -8x = 6(-3 + -4x) -6 + -8x = (-3 * 6 + -4x * 6) -6 + -8x = (-18 + -24x) Solving -6 + -8x = -18 + -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. -6 + -8x + 24x = -18 + -24x + 24x Combine like terms: -8x + 24x = 16x -6 + 16x = -18 + -24x + 24x Combine like terms: -24x + 24x = 0 -6 + 16x = -18 + 0 -6 + 16x = -18 Add '6' to each side of the equation. -6 + 6 + 16x = -18 + 6 Combine like terms: -6 + 6 = 0 0 + 16x = -18 + 6 16x = -18 + 6 Combine like terms: -18 + 6 = -12 16x = -12 Divide each side by '16'. x = -0.75 Simplifying x = -0.75
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