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Simplifying 2(x + -4) = 8x + -2(-3x + -8) Reorder the terms: 2(-4 + x) = 8x + -2(-3x + -8) (-4 * 2 + x * 2) = 8x + -2(-3x + -8) (-8 + 2x) = 8x + -2(-3x + -8) Reorder the terms: -8 + 2x = 8x + -2(-8 + -3x) -8 + 2x = 8x + (-8 * -2 + -3x * -2) -8 + 2x = 8x + (16 + 6x) Reorder the terms: -8 + 2x = 16 + 8x + 6x Combine like terms: 8x + 6x = 14x -8 + 2x = 16 + 14x Solving -8 + 2x = 16 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -8 + 2x + -14x = 16 + 14x + -14x Combine like terms: 2x + -14x = -12x -8 + -12x = 16 + 14x + -14x Combine like terms: 14x + -14x = 0 -8 + -12x = 16 + 0 -8 + -12x = 16 Add '8' to each side of the equation. -8 + 8 + -12x = 16 + 8 Combine like terms: -8 + 8 = 0 0 + -12x = 16 + 8 -12x = 16 + 8 Combine like terms: 16 + 8 = 24 -12x = 24 Divide each side by '-12'. x = -2 Simplifying x = -2
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