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Simplifying 35 = 5x + 7(x + -7) Reorder the terms: 35 = 5x + 7(-7 + x) 35 = 5x + (-7 * 7 + x * 7) 35 = 5x + (-49 + 7x) Reorder the terms: 35 = -49 + 5x + 7x Combine like terms: 5x + 7x = 12x 35 = -49 + 12x Solving 35 = -49 + 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. 35 + -12x = -49 + 12x + -12x Combine like terms: 12x + -12x = 0 35 + -12x = -49 + 0 35 + -12x = -49 Add '-35' to each side of the equation. 35 + -35 + -12x = -49 + -35 Combine like terms: 35 + -35 = 0 0 + -12x = -49 + -35 -12x = -49 + -35 Combine like terms: -49 + -35 = -84 -12x = -84 Divide each side by '-12'. x = 7 Simplifying x = 7
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