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Simplifying -109 = -5x + 7(-1x + 5) Reorder the terms: -109 = -5x + 7(5 + -1x) -109 = -5x + (5 * 7 + -1x * 7) -109 = -5x + (35 + -7x) Reorder the terms: -109 = 35 + -5x + -7x Combine like terms: -5x + -7x = -12x -109 = 35 + -12x Solving -109 = 35 + -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. -109 + 12x = 35 + -12x + 12x Combine like terms: -12x + 12x = 0 -109 + 12x = 35 + 0 -109 + 12x = 35 Add '109' to each side of the equation. -109 + 109 + 12x = 35 + 109 Combine like terms: -109 + 109 = 0 0 + 12x = 35 + 109 12x = 35 + 109 Combine like terms: 35 + 109 = 144 12x = 144 Divide each side by '12'. x = 12 Simplifying x = 12
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