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Simplifying 7(3 + 2x) = 8(x + -4) (3 * 7 + 2x * 7) = 8(x + -4) (21 + 14x) = 8(x + -4) Reorder the terms: 21 + 14x = 8(-4 + x) 21 + 14x = (-4 * 8 + x * 8) 21 + 14x = (-32 + 8x) Solving 21 + 14x = -32 + 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 + 14x + -8x = -32 + 8x + -8x Combine like terms: 14x + -8x = 6x 21 + 6x = -32 + 8x + -8x Combine like terms: 8x + -8x = 0 21 + 6x = -32 + 0 21 + 6x = -32 Add '-21' to each side of the equation. 21 + -21 + 6x = -32 + -21 Combine like terms: 21 + -21 = 0 0 + 6x = -32 + -21 6x = -32 + -21 Combine like terms: -32 + -21 = -53 6x = -53 Divide each side by '6'. x = -8.833333333 Simplifying x = -8.833333333
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