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Simplifying 1(16 + -1x) = -12(x + 7) (16 * 1 + -1x * 1) = -12(x + 7) (16 + -1x) = -12(x + 7) Reorder the terms: 16 + -1x = -12(7 + x) 16 + -1x = (7 * -12 + x * -12) 16 + -1x = (-84 + -12x) Solving 16 + -1x = -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. 16 + -1x + 12x = -84 + -12x + 12x Combine like terms: -1x + 12x = 11x 16 + 11x = -84 + -12x + 12x Combine like terms: -12x + 12x = 0 16 + 11x = -84 + 0 16 + 11x = -84 Add '-16' to each side of the equation. 16 + -16 + 11x = -84 + -16 Combine like terms: 16 + -16 = 0 0 + 11x = -84 + -16 11x = -84 + -16 Combine like terms: -84 + -16 = -100 11x = -100 Divide each side by '11'. x = -9.090909091 Simplifying x = -9.090909091
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