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Simplifying 8(x + 2) = -2(3x + 4) Reorder the terms: 8(2 + x) = -2(3x + 4) (2 * 8 + x * 8) = -2(3x + 4) (16 + 8x) = -2(3x + 4) Reorder the terms: 16 + 8x = -2(4 + 3x) 16 + 8x = (4 * -2 + 3x * -2) 16 + 8x = (-8 + -6x) Solving 16 + 8x = -8 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 16 + 8x + 6x = -8 + -6x + 6x Combine like terms: 8x + 6x = 14x 16 + 14x = -8 + -6x + 6x Combine like terms: -6x + 6x = 0 16 + 14x = -8 + 0 16 + 14x = -8 Add '-16' to each side of the equation. 16 + -16 + 14x = -8 + -16 Combine like terms: 16 + -16 = 0 0 + 14x = -8 + -16 14x = -8 + -16 Combine like terms: -8 + -16 = -24 14x = -24 Divide each side by '14'. x = -1.714285714 Simplifying x = -1.714285714
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