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Simplifying -3x + 7(-3x + -3) = -39 + -6x Reorder the terms: -3x + 7(-3 + -3x) = -39 + -6x -3x + (-3 * 7 + -3x * 7) = -39 + -6x -3x + (-21 + -21x) = -39 + -6x Reorder the terms: -21 + -3x + -21x = -39 + -6x Combine like terms: -3x + -21x = -24x -21 + -24x = -39 + -6x Solving -21 + -24x = -39 + -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. -21 + -24x + 6x = -39 + -6x + 6x Combine like terms: -24x + 6x = -18x -21 + -18x = -39 + -6x + 6x Combine like terms: -6x + 6x = 0 -21 + -18x = -39 + 0 -21 + -18x = -39 Add '21' to each side of the equation. -21 + 21 + -18x = -39 + 21 Combine like terms: -21 + 21 = 0 0 + -18x = -39 + 21 -18x = -39 + 21 Combine like terms: -39 + 21 = -18 -18x = -18 Divide each side by '-18'. x = 1 Simplifying x = 1
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