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Simplifying 6(2x + 2) = 6x + 48 Reorder the terms: 6(2 + 2x) = 6x + 48 (2 * 6 + 2x * 6) = 6x + 48 (12 + 12x) = 6x + 48 Reorder the terms: 12 + 12x = 48 + 6x Solving 12 + 12x = 48 + 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. 12 + 12x + -6x = 48 + 6x + -6x Combine like terms: 12x + -6x = 6x 12 + 6x = 48 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + 6x = 48 + 0 12 + 6x = 48 Add '-12' to each side of the equation. 12 + -12 + 6x = 48 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 48 + -12 6x = 48 + -12 Combine like terms: 48 + -12 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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