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Simplifying -6x + 3(3x + 7) = -13 + -5x Reorder the terms: -6x + 3(7 + 3x) = -13 + -5x -6x + (7 * 3 + 3x * 3) = -13 + -5x -6x + (21 + 9x) = -13 + -5x Reorder the terms: 21 + -6x + 9x = -13 + -5x Combine like terms: -6x + 9x = 3x 21 + 3x = -13 + -5x Solving 21 + 3x = -13 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 21 + 3x + 5x = -13 + -5x + 5x Combine like terms: 3x + 5x = 8x 21 + 8x = -13 + -5x + 5x Combine like terms: -5x + 5x = 0 21 + 8x = -13 + 0 21 + 8x = -13 Add '-21' to each side of the equation. 21 + -21 + 8x = -13 + -21 Combine like terms: 21 + -21 = 0 0 + 8x = -13 + -21 8x = -13 + -21 Combine like terms: -13 + -21 = -34 8x = -34 Divide each side by '8'. x = -4.25 Simplifying x = -4.25
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