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Simplifying -3(-3x + -7) = 5 + -1(-2x + 1) Reorder the terms: -3(-7 + -3x) = 5 + -1(-2x + 1) (-7 * -3 + -3x * -3) = 5 + -1(-2x + 1) (21 + 9x) = 5 + -1(-2x + 1) Reorder the terms: 21 + 9x = 5 + -1(1 + -2x) 21 + 9x = 5 + (1 * -1 + -2x * -1) 21 + 9x = 5 + (-1 + 2x) Combine like terms: 5 + -1 = 4 21 + 9x = 4 + 2x Solving 21 + 9x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 21 + 9x + -2x = 4 + 2x + -2x Combine like terms: 9x + -2x = 7x 21 + 7x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 21 + 7x = 4 + 0 21 + 7x = 4 Add '-21' to each side of the equation. 21 + -21 + 7x = 4 + -21 Combine like terms: 21 + -21 = 0 0 + 7x = 4 + -21 7x = 4 + -21 Combine like terms: 4 + -21 = -17 7x = -17 Divide each side by '7'. x = -2.428571429 Simplifying x = -2.428571429
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