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Simplifying 6(-4 + -2x) = -7(1x + -3) (-4 * 6 + -2x * 6) = -7(1x + -3) (-24 + -12x) = -7(1x + -3) Reorder the terms: -24 + -12x = -7(-3 + 1x) -24 + -12x = (-3 * -7 + 1x * -7) -24 + -12x = (21 + -7x) Solving -24 + -12x = 21 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -24 + -12x + 7x = 21 + -7x + 7x Combine like terms: -12x + 7x = -5x -24 + -5x = 21 + -7x + 7x Combine like terms: -7x + 7x = 0 -24 + -5x = 21 + 0 -24 + -5x = 21 Add '24' to each side of the equation. -24 + 24 + -5x = 21 + 24 Combine like terms: -24 + 24 = 0 0 + -5x = 21 + 24 -5x = 21 + 24 Combine like terms: 21 + 24 = 45 -5x = 45 Divide each side by '-5'. x = -9 Simplifying x = -9
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