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Simplifying 3 + -7(x + -1) = 9 + -6(2x + 1) Reorder the terms: 3 + -7(-1 + x) = 9 + -6(2x + 1) 3 + (-1 * -7 + x * -7) = 9 + -6(2x + 1) 3 + (7 + -7x) = 9 + -6(2x + 1) Combine like terms: 3 + 7 = 10 10 + -7x = 9 + -6(2x + 1) Reorder the terms: 10 + -7x = 9 + -6(1 + 2x) 10 + -7x = 9 + (1 * -6 + 2x * -6) 10 + -7x = 9 + (-6 + -12x) Combine like terms: 9 + -6 = 3 10 + -7x = 3 + -12x Solving 10 + -7x = 3 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 10 + -7x + 12x = 3 + -12x + 12x Combine like terms: -7x + 12x = 5x 10 + 5x = 3 + -12x + 12x Combine like terms: -12x + 12x = 0 10 + 5x = 3 + 0 10 + 5x = 3 Add '-10' to each side of the equation. 10 + -10 + 5x = 3 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = 3 + -10 5x = 3 + -10 Combine like terms: 3 + -10 = -7 5x = -7 Divide each side by '5'. x = -1.4 Simplifying x = -1.4
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