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Simplifying 3(7 + -2x) = 13 + -8(x + -1) (7 * 3 + -2x * 3) = 13 + -8(x + -1) (21 + -6x) = 13 + -8(x + -1) Reorder the terms: 21 + -6x = 13 + -8(-1 + x) 21 + -6x = 13 + (-1 * -8 + x * -8) 21 + -6x = 13 + (8 + -8x) Combine like terms: 13 + 8 = 21 21 + -6x = 21 + -8x Add '-21' to each side of the equation. 21 + -21 + -6x = 21 + -21 + -8x Combine like terms: 21 + -21 = 0 0 + -6x = 21 + -21 + -8x -6x = 21 + -21 + -8x Combine like terms: 21 + -21 = 0 -6x = 0 + -8x -6x = -8x Solving -6x = -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. -6x + 8x = -8x + 8x Combine like terms: -6x + 8x = 2x 2x = -8x + 8x Combine like terms: -8x + 8x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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