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Simplifying (2x + 8) * 6 = 8x Reorder the terms: (8 + 2x) * 6 = 8x Reorder the terms for easier multiplication: 6(8 + 2x) = 8x (8 * 6 + 2x * 6) = 8x (48 + 12x) = 8x Solving 48 + 12x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 48 + 12x + -8x = 8x + -8x Combine like terms: 12x + -8x = 4x 48 + 4x = 8x + -8x Combine like terms: 8x + -8x = 0 48 + 4x = 0 Add '-48' to each side of the equation. 48 + -48 + 4x = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 4x = 0 + -48 4x = 0 + -48 Combine like terms: 0 + -48 = -48 4x = -48 Divide each side by '4'. x = -12 Simplifying x = -12
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