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Simplifying 6(-7x + -4) = 3(-12x + -12) Reorder the terms: 6(-4 + -7x) = 3(-12x + -12) (-4 * 6 + -7x * 6) = 3(-12x + -12) (-24 + -42x) = 3(-12x + -12) Reorder the terms: -24 + -42x = 3(-12 + -12x) -24 + -42x = (-12 * 3 + -12x * 3) -24 + -42x = (-36 + -36x) Solving -24 + -42x = -36 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. -24 + -42x + 36x = -36 + -36x + 36x Combine like terms: -42x + 36x = -6x -24 + -6x = -36 + -36x + 36x Combine like terms: -36x + 36x = 0 -24 + -6x = -36 + 0 -24 + -6x = -36 Add '24' to each side of the equation. -24 + 24 + -6x = -36 + 24 Combine like terms: -24 + 24 = 0 0 + -6x = -36 + 24 -6x = -36 + 24 Combine like terms: -36 + 24 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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