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Simplifying 8x + -8 + 2(3x + 2) = -2(x + 6) Reorder the terms: 8x + -8 + 2(2 + 3x) = -2(x + 6) 8x + -8 + (2 * 2 + 3x * 2) = -2(x + 6) 8x + -8 + (4 + 6x) = -2(x + 6) Reorder the terms: -8 + 4 + 8x + 6x = -2(x + 6) Combine like terms: -8 + 4 = -4 -4 + 8x + 6x = -2(x + 6) Combine like terms: 8x + 6x = 14x -4 + 14x = -2(x + 6) Reorder the terms: -4 + 14x = -2(6 + x) -4 + 14x = (6 * -2 + x * -2) -4 + 14x = (-12 + -2x) Solving -4 + 14x = -12 + -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. -4 + 14x + 2x = -12 + -2x + 2x Combine like terms: 14x + 2x = 16x -4 + 16x = -12 + -2x + 2x Combine like terms: -2x + 2x = 0 -4 + 16x = -12 + 0 -4 + 16x = -12 Add '4' to each side of the equation. -4 + 4 + 16x = -12 + 4 Combine like terms: -4 + 4 = 0 0 + 16x = -12 + 4 16x = -12 + 4 Combine like terms: -12 + 4 = -8 16x = -8 Divide each side by '16'. x = -0.5 Simplifying x = -0.5
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