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Simplifying -100 = -4x + -4(2x + -8) Reorder the terms: -100 = -4x + -4(-8 + 2x) -100 = -4x + (-8 * -4 + 2x * -4) -100 = -4x + (32 + -8x) Reorder the terms: -100 = 32 + -4x + -8x Combine like terms: -4x + -8x = -12x -100 = 32 + -12x Solving -100 = 32 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -100 + 12x = 32 + -12x + 12x Combine like terms: -12x + 12x = 0 -100 + 12x = 32 + 0 -100 + 12x = 32 Add '100' to each side of the equation. -100 + 100 + 12x = 32 + 100 Combine like terms: -100 + 100 = 0 0 + 12x = 32 + 100 12x = 32 + 100 Combine like terms: 32 + 100 = 132 12x = 132 Divide each side by '12'. x = 11 Simplifying x = 11
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