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Simplifying 6[3x + 1] = 12x + 24 Reorder the terms: 6[1 + 3x] = 12x + 24 [1 * 6 + 3x * 6] = 12x + 24 [6 + 18x] = 12x + 24 Reorder the terms: 6 + 18x = 24 + 12x Solving 6 + 18x = 24 + 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. 6 + 18x + -12x = 24 + 12x + -12x Combine like terms: 18x + -12x = 6x 6 + 6x = 24 + 12x + -12x Combine like terms: 12x + -12x = 0 6 + 6x = 24 + 0 6 + 6x = 24 Add '-6' to each side of the equation. 6 + -6 + 6x = 24 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = 24 + -6 6x = 24 + -6 Combine like terms: 24 + -6 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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