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Simplifying 7 + -1(3 + -2x) = 8(2 + x) 7 + (3 * -1 + -2x * -1) = 8(2 + x) 7 + (-3 + 2x) = 8(2 + x) Combine like terms: 7 + -3 = 4 4 + 2x = 8(2 + x) 4 + 2x = (2 * 8 + x * 8) 4 + 2x = (16 + 8x) Solving 4 + 2x = 16 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4 + 2x + -8x = 16 + 8x + -8x Combine like terms: 2x + -8x = -6x 4 + -6x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + -6x = 16 + 0 4 + -6x = 16 Add '-4' to each side of the equation. 4 + -4 + -6x = 16 + -4 Combine like terms: 4 + -4 = 0 0 + -6x = 16 + -4 -6x = 16 + -4 Combine like terms: 16 + -4 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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