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Simplifying -4(2x + 6) = 2x + 6 + -1(8x + 2) Reorder the terms: -4(6 + 2x) = 2x + 6 + -1(8x + 2) (6 * -4 + 2x * -4) = 2x + 6 + -1(8x + 2) (-24 + -8x) = 2x + 6 + -1(8x + 2) Reorder the terms: -24 + -8x = 2x + 6 + -1(2 + 8x) -24 + -8x = 2x + 6 + (2 * -1 + 8x * -1) -24 + -8x = 2x + 6 + (-2 + -8x) Reorder the terms: -24 + -8x = 6 + -2 + 2x + -8x Combine like terms: 6 + -2 = 4 -24 + -8x = 4 + 2x + -8x Combine like terms: 2x + -8x = -6x -24 + -8x = 4 + -6x Solving -24 + -8x = 4 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -24 + -8x + 6x = 4 + -6x + 6x Combine like terms: -8x + 6x = -2x -24 + -2x = 4 + -6x + 6x Combine like terms: -6x + 6x = 0 -24 + -2x = 4 + 0 -24 + -2x = 4 Add '24' to each side of the equation. -24 + 24 + -2x = 4 + 24 Combine like terms: -24 + 24 = 0 0 + -2x = 4 + 24 -2x = 4 + 24 Combine like terms: 4 + 24 = 28 -2x = 28 Divide each side by '-2'. x = -14 Simplifying x = -14
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