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Simplifying 2(3x + -8) = -2(x + -4) Reorder the terms: 2(-8 + 3x) = -2(x + -4) (-8 * 2 + 3x * 2) = -2(x + -4) (-16 + 6x) = -2(x + -4) Reorder the terms: -16 + 6x = -2(-4 + x) -16 + 6x = (-4 * -2 + x * -2) -16 + 6x = (8 + -2x) Solving -16 + 6x = 8 + -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. -16 + 6x + 2x = 8 + -2x + 2x Combine like terms: 6x + 2x = 8x -16 + 8x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 -16 + 8x = 8 + 0 -16 + 8x = 8 Add '16' to each side of the equation. -16 + 16 + 8x = 8 + 16 Combine like terms: -16 + 16 = 0 0 + 8x = 8 + 16 8x = 8 + 16 Combine like terms: 8 + 16 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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