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Simplifying 8(x + 4) + -6(x + -2) = -6 Reorder the terms: 8(4 + x) + -6(x + -2) = -6 (4 * 8 + x * 8) + -6(x + -2) = -6 (32 + 8x) + -6(x + -2) = -6 Reorder the terms: 32 + 8x + -6(-2 + x) = -6 32 + 8x + (-2 * -6 + x * -6) = -6 32 + 8x + (12 + -6x) = -6 Reorder the terms: 32 + 12 + 8x + -6x = -6 Combine like terms: 32 + 12 = 44 44 + 8x + -6x = -6 Combine like terms: 8x + -6x = 2x 44 + 2x = -6 Solving 44 + 2x = -6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + 2x = -6 + -44 Combine like terms: 44 + -44 = 0 0 + 2x = -6 + -44 2x = -6 + -44 Combine like terms: -6 + -44 = -50 2x = -50 Divide each side by '2'. x = -25 Simplifying x = -25
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