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Simplifying (x + 5) * 6 = 12x Reorder the terms: (5 + x) * 6 = 12x Reorder the terms for easier multiplication: 6(5 + x) = 12x (5 * 6 + x * 6) = 12x (30 + 6x) = 12x Solving 30 + 6x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 30 + 6x + -12x = 12x + -12x Combine like terms: 6x + -12x = -6x 30 + -6x = 12x + -12x Combine like terms: 12x + -12x = 0 30 + -6x = 0 Add '-30' to each side of the equation. 30 + -30 + -6x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -6x = 0 + -30 -6x = 0 + -30 Combine like terms: 0 + -30 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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