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Simplifying -3(x + -7) = 6 + -5x Reorder the terms: -3(-7 + x) = 6 + -5x (-7 * -3 + x * -3) = 6 + -5x (21 + -3x) = 6 + -5x Solving 21 + -3x = 6 + -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 = 6 + -5x + 5x Combine like terms: -3x + 5x = 2x 21 + 2x = 6 + -5x + 5x Combine like terms: -5x + 5x = 0 21 + 2x = 6 + 0 21 + 2x = 6 Add '-21' to each side of the equation. 21 + -21 + 2x = 6 + -21 Combine like terms: 21 + -21 = 0 0 + 2x = 6 + -21 2x = 6 + -21 Combine like terms: 6 + -21 = -15 2x = -15 Divide each side by '2'. x = -7.5 Simplifying x = -7.5
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