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Simplifying 4(4x + 8) + 2(x + 8) = -6 Reorder the terms: 4(8 + 4x) + 2(x + 8) = -6 (8 * 4 + 4x * 4) + 2(x + 8) = -6 (32 + 16x) + 2(x + 8) = -6 Reorder the terms: 32 + 16x + 2(8 + x) = -6 32 + 16x + (8 * 2 + x * 2) = -6 32 + 16x + (16 + 2x) = -6 Reorder the terms: 32 + 16 + 16x + 2x = -6 Combine like terms: 32 + 16 = 48 48 + 16x + 2x = -6 Combine like terms: 16x + 2x = 18x 48 + 18x = -6 Solving 48 + 18x = -6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 18x = -6 + -48 Combine like terms: 48 + -48 = 0 0 + 18x = -6 + -48 18x = -6 + -48 Combine like terms: -6 + -48 = -54 18x = -54 Divide each side by '18'. x = -3 Simplifying x = -3
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