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Simplifying 2x + 3(3x + 6) = 4x + -24 Reorder the terms: 2x + 3(6 + 3x) = 4x + -24 2x + (6 * 3 + 3x * 3) = 4x + -24 2x + (18 + 9x) = 4x + -24 Reorder the terms: 18 + 2x + 9x = 4x + -24 Combine like terms: 2x + 9x = 11x 18 + 11x = 4x + -24 Reorder the terms: 18 + 11x = -24 + 4x Solving 18 + 11x = -24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 18 + 11x + -4x = -24 + 4x + -4x Combine like terms: 11x + -4x = 7x 18 + 7x = -24 + 4x + -4x Combine like terms: 4x + -4x = 0 18 + 7x = -24 + 0 18 + 7x = -24 Add '-18' to each side of the equation. 18 + -18 + 7x = -24 + -18 Combine like terms: 18 + -18 = 0 0 + 7x = -24 + -18 7x = -24 + -18 Combine like terms: -24 + -18 = -42 7x = -42 Divide each side by '7'. x = -6 Simplifying x = -6
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