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Simplifying -2(x + -8) + 4(2x + 3) = 0 Reorder the terms: -2(-8 + x) + 4(2x + 3) = 0 (-8 * -2 + x * -2) + 4(2x + 3) = 0 (16 + -2x) + 4(2x + 3) = 0 Reorder the terms: 16 + -2x + 4(3 + 2x) = 0 16 + -2x + (3 * 4 + 2x * 4) = 0 16 + -2x + (12 + 8x) = 0 Reorder the terms: 16 + 12 + -2x + 8x = 0 Combine like terms: 16 + 12 = 28 28 + -2x + 8x = 0 Combine like terms: -2x + 8x = 6x 28 + 6x = 0 Solving 28 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 6x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 6x = 0 + -28 6x = 0 + -28 Combine like terms: 0 + -28 = -28 6x = -28 Divide each side by '6'. x = -4.666666667 Simplifying x = -4.666666667
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