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Simplifying 3(-2x + -4) = 2(x + 8) Reorder the terms: 3(-4 + -2x) = 2(x + 8) (-4 * 3 + -2x * 3) = 2(x + 8) (-12 + -6x) = 2(x + 8) Reorder the terms: -12 + -6x = 2(8 + x) -12 + -6x = (8 * 2 + x * 2) -12 + -6x = (16 + 2x) Solving -12 + -6x = 16 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -12 + -6x + -2x = 16 + 2x + -2x Combine like terms: -6x + -2x = -8x -12 + -8x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + -8x = 16 + 0 -12 + -8x = 16 Add '12' to each side of the equation. -12 + 12 + -8x = 16 + 12 Combine like terms: -12 + 12 = 0 0 + -8x = 16 + 12 -8x = 16 + 12 Combine like terms: 16 + 12 = 28 -8x = 28 Divide each side by '-8'. x = -3.5 Simplifying x = -3.5
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