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Simplifying 3(7 + -2x) = 14 + -8(x + -1) (7 * 3 + -2x * 3) = 14 + -8(x + -1) (21 + -6x) = 14 + -8(x + -1) Reorder the terms: 21 + -6x = 14 + -8(-1 + x) 21 + -6x = 14 + (-1 * -8 + x * -8) 21 + -6x = 14 + (8 + -8x) Combine like terms: 14 + 8 = 22 21 + -6x = 22 + -8x Solving 21 + -6x = 22 + -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. 21 + -6x + 8x = 22 + -8x + 8x Combine like terms: -6x + 8x = 2x 21 + 2x = 22 + -8x + 8x Combine like terms: -8x + 8x = 0 21 + 2x = 22 + 0 21 + 2x = 22 Add '-21' to each side of the equation. 21 + -21 + 2x = 22 + -21 Combine like terms: 21 + -21 = 0 0 + 2x = 22 + -21 2x = 22 + -21 Combine like terms: 22 + -21 = 1 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5
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