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Simplifying 13 + -14x = -5(7x + 3) + -5(-4 + -4x) Reorder the terms: 13 + -14x = -5(3 + 7x) + -5(-4 + -4x) 13 + -14x = (3 * -5 + 7x * -5) + -5(-4 + -4x) 13 + -14x = (-15 + -35x) + -5(-4 + -4x) 13 + -14x = -15 + -35x + (-4 * -5 + -4x * -5) 13 + -14x = -15 + -35x + (20 + 20x) Reorder the terms: 13 + -14x = -15 + 20 + -35x + 20x Combine like terms: -15 + 20 = 5 13 + -14x = 5 + -35x + 20x Combine like terms: -35x + 20x = -15x 13 + -14x = 5 + -15x Solving 13 + -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. 13 + -14x + 15x = 5 + -15x + 15x Combine like terms: -14x + 15x = 1x 13 + 1x = 5 + -15x + 15x Combine like terms: -15x + 15x = 0 13 + 1x = 5 + 0 13 + 1x = 5 Add '-13' to each side of the equation. 13 + -13 + 1x = 5 + -13 Combine like terms: 13 + -13 = 0 0 + 1x = 5 + -13 1x = 5 + -13 Combine like terms: 5 + -13 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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