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Simplifying (8 + 2x) * 6 = 12 + 6x Reorder the terms for easier multiplication: 6(8 + 2x) = 12 + 6x (8 * 6 + 2x * 6) = 12 + 6x (48 + 12x) = 12 + 6x Solving 48 + 12x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 48 + 12x + -6x = 12 + 6x + -6x Combine like terms: 12x + -6x = 6x 48 + 6x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 48 + 6x = 12 + 0 48 + 6x = 12 Add '-48' to each side of the equation. 48 + -48 + 6x = 12 + -48 Combine like terms: 48 + -48 = 0 0 + 6x = 12 + -48 6x = 12 + -48 Combine like terms: 12 + -48 = -36 6x = -36 Divide each side by '6'. x = -6 Simplifying x = -6
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