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Simplifying 6(x + 2) = 6(2x + 5) Reorder the terms: 6(2 + x) = 6(2x + 5) (2 * 6 + x * 6) = 6(2x + 5) (12 + 6x) = 6(2x + 5) Reorder the terms: 12 + 6x = 6(5 + 2x) 12 + 6x = (5 * 6 + 2x * 6) 12 + 6x = (30 + 12x) Solving 12 + 6x = 30 + 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. 12 + 6x + -12x = 30 + 12x + -12x Combine like terms: 6x + -12x = -6x 12 + -6x = 30 + 12x + -12x Combine like terms: 12x + -12x = 0 12 + -6x = 30 + 0 12 + -6x = 30 Add '-12' to each side of the equation. 12 + -12 + -6x = 30 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = 30 + -12 -6x = 30 + -12 Combine like terms: 30 + -12 = 18 -6x = 18 Divide each side by '-6'. x = -3 Simplifying x = -3
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