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Simplifying 6(x + 2) = 3x + 48 Reorder the terms: 6(2 + x) = 3x + 48 (2 * 6 + x * 6) = 3x + 48 (12 + 6x) = 3x + 48 Reorder the terms: 12 + 6x = 48 + 3x Solving 12 + 6x = 48 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 12 + 6x + -3x = 48 + 3x + -3x Combine like terms: 6x + -3x = 3x 12 + 3x = 48 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + 3x = 48 + 0 12 + 3x = 48 Add '-12' to each side of the equation. 12 + -12 + 3x = 48 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 48 + -12 3x = 48 + -12 Combine like terms: 48 + -12 = 36 3x = 36 Divide each side by '3'. x = 12 Simplifying x = 12
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