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Simplifying -2(x + 4) = 3(2x + 8) Reorder the terms: -2(4 + x) = 3(2x + 8) (4 * -2 + x * -2) = 3(2x + 8) (-8 + -2x) = 3(2x + 8) Reorder the terms: -8 + -2x = 3(8 + 2x) -8 + -2x = (8 * 3 + 2x * 3) -8 + -2x = (24 + 6x) Solving -8 + -2x = 24 + 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. -8 + -2x + -6x = 24 + 6x + -6x Combine like terms: -2x + -6x = -8x -8 + -8x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -8x = 24 + 0 -8 + -8x = 24 Add '8' to each side of the equation. -8 + 8 + -8x = 24 + 8 Combine like terms: -8 + 8 = 0 0 + -8x = 24 + 8 -8x = 24 + 8 Combine like terms: 24 + 8 = 32 -8x = 32 Divide each side by '-8'. x = -4 Simplifying x = -4
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