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Simplifying 7 + -1(2 + -1x) = 7x + -1(3 + -2x) 7 + (2 * -1 + -1x * -1) = 7x + -1(3 + -2x) 7 + (-2 + 1x) = 7x + -1(3 + -2x) Combine like terms: 7 + -2 = 5 5 + 1x = 7x + -1(3 + -2x) 5 + 1x = 7x + (3 * -1 + -2x * -1) 5 + 1x = 7x + (-3 + 2x) Reorder the terms: 5 + 1x = -3 + 7x + 2x Combine like terms: 7x + 2x = 9x 5 + 1x = -3 + 9x Solving 5 + 1x = -3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 5 + 1x + -9x = -3 + 9x + -9x Combine like terms: 1x + -9x = -8x 5 + -8x = -3 + 9x + -9x Combine like terms: 9x + -9x = 0 5 + -8x = -3 + 0 5 + -8x = -3 Add '-5' to each side of the equation. 5 + -5 + -8x = -3 + -5 Combine like terms: 5 + -5 = 0 0 + -8x = -3 + -5 -8x = -3 + -5 Combine like terms: -3 + -5 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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