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Simplifying 7(3X + 5) = 2(9X + -5) Reorder the terms: 7(5 + 3X) = 2(9X + -5) (5 * 7 + 3X * 7) = 2(9X + -5) (35 + 21X) = 2(9X + -5) Reorder the terms: 35 + 21X = 2(-5 + 9X) 35 + 21X = (-5 * 2 + 9X * 2) 35 + 21X = (-10 + 18X) Solving 35 + 21X = -10 + 18X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-18X' to each side of the equation. 35 + 21X + -18X = -10 + 18X + -18X Combine like terms: 21X + -18X = 3X 35 + 3X = -10 + 18X + -18X Combine like terms: 18X + -18X = 0 35 + 3X = -10 + 0 35 + 3X = -10 Add '-35' to each side of the equation. 35 + -35 + 3X = -10 + -35 Combine like terms: 35 + -35 = 0 0 + 3X = -10 + -35 3X = -10 + -35 Combine like terms: -10 + -35 = -45 3X = -45 Divide each side by '3'. X = -15 Simplifying X = -15
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