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Simplifying 6x + -3(-3x + 2) = -24 + 6x Reorder the terms: 6x + -3(2 + -3x) = -24 + 6x 6x + (2 * -3 + -3x * -3) = -24 + 6x 6x + (-6 + 9x) = -24 + 6x Reorder the terms: -6 + 6x + 9x = -24 + 6x Combine like terms: 6x + 9x = 15x -6 + 15x = -24 + 6x Solving -6 + 15x = -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. -6 + 15x + -6x = -24 + 6x + -6x Combine like terms: 15x + -6x = 9x -6 + 9x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + 9x = -24 + 0 -6 + 9x = -24 Add '6' to each side of the equation. -6 + 6 + 9x = -24 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = -24 + 6 9x = -24 + 6 Combine like terms: -24 + 6 = -18 9x = -18 Divide each side by '9'. x = -2 Simplifying x = -2
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