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Simplifying 6 + -3(x + -1) = 2 + -5(x + 7) Reorder the terms: 6 + -3(-1 + x) = 2 + -5(x + 7) 6 + (-1 * -3 + x * -3) = 2 + -5(x + 7) 6 + (3 + -3x) = 2 + -5(x + 7) Combine like terms: 6 + 3 = 9 9 + -3x = 2 + -5(x + 7) Reorder the terms: 9 + -3x = 2 + -5(7 + x) 9 + -3x = 2 + (7 * -5 + x * -5) 9 + -3x = 2 + (-35 + -5x) Combine like terms: 2 + -35 = -33 9 + -3x = -33 + -5x Solving 9 + -3x = -33 + -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. 9 + -3x + 5x = -33 + -5x + 5x Combine like terms: -3x + 5x = 2x 9 + 2x = -33 + -5x + 5x Combine like terms: -5x + 5x = 0 9 + 2x = -33 + 0 9 + 2x = -33 Add '-9' to each side of the equation. 9 + -9 + 2x = -33 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = -33 + -9 2x = -33 + -9 Combine like terms: -33 + -9 = -42 2x = -42 Divide each side by '2'. x = -21 Simplifying x = -21
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