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Simplifying -8x + -6(x + -4) = 2(x + -4) Reorder the terms: -8x + -6(-4 + x) = 2(x + -4) -8x + (-4 * -6 + x * -6) = 2(x + -4) -8x + (24 + -6x) = 2(x + -4) Reorder the terms: 24 + -8x + -6x = 2(x + -4) Combine like terms: -8x + -6x = -14x 24 + -14x = 2(x + -4) Reorder the terms: 24 + -14x = 2(-4 + x) 24 + -14x = (-4 * 2 + x * 2) 24 + -14x = (-8 + 2x) Solving 24 + -14x = -8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 24 + -14x + -2x = -8 + 2x + -2x Combine like terms: -14x + -2x = -16x 24 + -16x = -8 + 2x + -2x Combine like terms: 2x + -2x = 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 = -32 -16x = -32 Divide each side by '-16'. x = 2 Simplifying x = 2
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