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Simplifying 6(2x + -4) = -1(x + 4) Reorder the terms: 6(-4 + 2x) = -1(x + 4) (-4 * 6 + 2x * 6) = -1(x + 4) (-24 + 12x) = -1(x + 4) Reorder the terms: -24 + 12x = -1(4 + x) -24 + 12x = (4 * -1 + x * -1) -24 + 12x = (-4 + -1x) Solving -24 + 12x = -4 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -24 + 12x + x = -4 + -1x + x Combine like terms: 12x + x = 13x -24 + 13x = -4 + -1x + x Combine like terms: -1x + x = 0 -24 + 13x = -4 + 0 -24 + 13x = -4 Add '24' to each side of the equation. -24 + 24 + 13x = -4 + 24 Combine like terms: -24 + 24 = 0 0 + 13x = -4 + 24 13x = -4 + 24 Combine like terms: -4 + 24 = 20 13x = 20 Divide each side by '13'. x = 1.538461538 Simplifying x = 1.538461538
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