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