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Simplifying 8x + -4 + 2(4x + 4) = -2(x + 6) Reorder the terms: 8x + -4 + 2(4 + 4x) = -2(x + 6) 8x + -4 + (4 * 2 + 4x * 2) = -2(x + 6) 8x + -4 + (8 + 8x) = -2(x + 6) Reorder the terms: -4 + 8 + 8x + 8x = -2(x + 6) Combine like terms: -4 + 8 = 4 4 + 8x + 8x = -2(x + 6) Combine like terms: 8x + 8x = 16x 4 + 16x = -2(x + 6) Reorder the terms: 4 + 16x = -2(6 + x) 4 + 16x = (6 * -2 + x * -2) 4 + 16x = (-12 + -2x) Solving 4 + 16x = -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 + 16x + 2x = -12 + -2x + 2x Combine like terms: 16x + 2x = 18x 4 + 18x = -12 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 18x = -12 + 0 4 + 18x = -12 Add '-4' to each side of the equation. 4 + -4 + 18x = -12 + -4 Combine like terms: 4 + -4 = 0 0 + 18x = -12 + -4 18x = -12 + -4 Combine like terms: -12 + -4 = -16 18x = -16 Divide each side by '18'. x = -0.8888888889 Simplifying x = -0.8888888889
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