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Simplifying 1 + -2(16 + -1x) = -12(x + 7) 1 + (16 * -2 + -1x * -2) = -12(x + 7) 1 + (-32 + 2x) = -12(x + 7) Combine like terms: 1 + -32 = -31 -31 + 2x = -12(x + 7) Reorder the terms: -31 + 2x = -12(7 + x) -31 + 2x = (7 * -12 + x * -12) -31 + 2x = (-84 + -12x) Solving -31 + 2x = -84 + -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. -31 + 2x + 12x = -84 + -12x + 12x Combine like terms: 2x + 12x = 14x -31 + 14x = -84 + -12x + 12x Combine like terms: -12x + 12x = 0 -31 + 14x = -84 + 0 -31 + 14x = -84 Add '31' to each side of the equation. -31 + 31 + 14x = -84 + 31 Combine like terms: -31 + 31 = 0 0 + 14x = -84 + 31 14x = -84 + 31 Combine like terms: -84 + 31 = -53 14x = -53 Divide each side by '14'. x = -3.785714286 Simplifying x = -3.785714286
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