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Simplifying 9 + -3(-1x + 2) = 5(7x + -6) + 1 Reorder the terms: 9 + -3(2 + -1x) = 5(7x + -6) + 1 9 + (2 * -3 + -1x * -3) = 5(7x + -6) + 1 9 + (-6 + 3x) = 5(7x + -6) + 1 Combine like terms: 9 + -6 = 3 3 + 3x = 5(7x + -6) + 1 Reorder the terms: 3 + 3x = 5(-6 + 7x) + 1 3 + 3x = (-6 * 5 + 7x * 5) + 1 3 + 3x = (-30 + 35x) + 1 Reorder the terms: 3 + 3x = -30 + 1 + 35x Combine like terms: -30 + 1 = -29 3 + 3x = -29 + 35x Solving 3 + 3x = -29 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 3 + 3x + -35x = -29 + 35x + -35x Combine like terms: 3x + -35x = -32x 3 + -32x = -29 + 35x + -35x Combine like terms: 35x + -35x = 0 3 + -32x = -29 + 0 3 + -32x = -29 Add '-3' to each side of the equation. 3 + -3 + -32x = -29 + -3 Combine like terms: 3 + -3 = 0 0 + -32x = -29 + -3 -32x = -29 + -3 Combine like terms: -29 + -3 = -32 -32x = -32 Divide each side by '-32'. x = 1 Simplifying x = 1
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