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Simplifying 16 + -14x = -5(7x + 2) + -5(-3 + -4x) Reorder the terms: 16 + -14x = -5(2 + 7x) + -5(-3 + -4x) 16 + -14x = (2 * -5 + 7x * -5) + -5(-3 + -4x) 16 + -14x = (-10 + -35x) + -5(-3 + -4x) 16 + -14x = -10 + -35x + (-3 * -5 + -4x * -5) 16 + -14x = -10 + -35x + (15 + 20x) Reorder the terms: 16 + -14x = -10 + 15 + -35x + 20x Combine like terms: -10 + 15 = 5 16 + -14x = 5 + -35x + 20x Combine like terms: -35x + 20x = -15x 16 + -14x = 5 + -15x Solving 16 + -14x = 5 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 16 + -14x + 15x = 5 + -15x + 15x Combine like terms: -14x + 15x = 1x 16 + 1x = 5 + -15x + 15x Combine like terms: -15x + 15x = 0 16 + 1x = 5 + 0 16 + 1x = 5 Add '-16' to each side of the equation. 16 + -16 + 1x = 5 + -16 Combine like terms: 16 + -16 = 0 0 + 1x = 5 + -16 1x = 5 + -16 Combine like terms: 5 + -16 = -11 1x = -11 Divide each side by '1'. x = -11 Simplifying x = -11
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