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Simplifying 6[2x + 5] = 6x + 24 Reorder the terms: 6[5 + 2x] = 6x + 24 [5 * 6 + 2x * 6] = 6x + 24 [30 + 12x] = 6x + 24 Reorder the terms: 30 + 12x = 24 + 6x Solving 30 + 12x = 24 + 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. 30 + 12x + -6x = 24 + 6x + -6x Combine like terms: 12x + -6x = 6x 30 + 6x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 30 + 6x = 24 + 0 30 + 6x = 24 Add '-30' to each side of the equation. 30 + -30 + 6x = 24 + -30 Combine like terms: 30 + -30 = 0 0 + 6x = 24 + -30 6x = 24 + -30 Combine like terms: 24 + -30 = -6 6x = -6 Divide each side by '6'. x = -1 Simplifying x = -1
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