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Simplifying 4(3x + -6) = -1(4x + 8) Reorder the terms: 4(-6 + 3x) = -1(4x + 8) (-6 * 4 + 3x * 4) = -1(4x + 8) (-24 + 12x) = -1(4x + 8) Reorder the terms: -24 + 12x = -1(8 + 4x) -24 + 12x = (8 * -1 + 4x * -1) -24 + 12x = (-8 + -4x) Solving -24 + 12x = -8 + -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 + 12x + 4x = -8 + -4x + 4x Combine like terms: 12x + 4x = 16x -24 + 16x = -8 + -4x + 4x Combine like terms: -4x + 4x = 0 -24 + 16x = -8 + 0 -24 + 16x = -8 Add '24' to each side of the equation. -24 + 24 + 16x = -8 + 24 Combine like terms: -24 + 24 = 0 0 + 16x = -8 + 24 16x = -8 + 24 Combine like terms: -8 + 24 = 16 16x = 16 Divide each side by '16'. x = 1 Simplifying x = 1
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