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Simplifying 6(2x + 1) = -24 + -3x Reorder the terms: 6(1 + 2x) = -24 + -3x (1 * 6 + 2x * 6) = -24 + -3x (6 + 12x) = -24 + -3x Solving 6 + 12x = -24 + -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. 6 + 12x + 3x = -24 + -3x + 3x Combine like terms: 12x + 3x = 15x 6 + 15x = -24 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + 15x = -24 + 0 6 + 15x = -24 Add '-6' to each side of the equation. 6 + -6 + 15x = -24 + -6 Combine like terms: 6 + -6 = 0 0 + 15x = -24 + -6 15x = -24 + -6 Combine like terms: -24 + -6 = -30 15x = -30 Divide each side by '15'. x = -2 Simplifying x = -2
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