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Simplifying -4(x + 1) + -16 = 10 + 2 Reorder the terms: -4(1 + x) + -16 = 10 + 2 (1 * -4 + x * -4) + -16 = 10 + 2 (-4 + -4x) + -16 = 10 + 2 Reorder the terms: -4 + -16 + -4x = 10 + 2 Combine like terms: -4 + -16 = -20 -20 + -4x = 10 + 2 Combine like terms: 10 + 2 = 12 -20 + -4x = 12 Solving -20 + -4x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -4x = 12 + 20 Combine like terms: -20 + 20 = 0 0 + -4x = 12 + 20 -4x = 12 + 20 Combine like terms: 12 + 20 = 32 -4x = 32 Divide each side by '-4'. x = -8 Simplifying x = -8
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