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Simplifying 14 + -19x = -5(7x + 3) + -5(-4 + -3x) Reorder the terms: 14 + -19x = -5(3 + 7x) + -5(-4 + -3x) 14 + -19x = (3 * -5 + 7x * -5) + -5(-4 + -3x) 14 + -19x = (-15 + -35x) + -5(-4 + -3x) 14 + -19x = -15 + -35x + (-4 * -5 + -3x * -5) 14 + -19x = -15 + -35x + (20 + 15x) Reorder the terms: 14 + -19x = -15 + 20 + -35x + 15x Combine like terms: -15 + 20 = 5 14 + -19x = 5 + -35x + 15x Combine like terms: -35x + 15x = -20x 14 + -19x = 5 + -20x Solving 14 + -19x = 5 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 14 + -19x + 20x = 5 + -20x + 20x Combine like terms: -19x + 20x = 1x 14 + 1x = 5 + -20x + 20x Combine like terms: -20x + 20x = 0 14 + 1x = 5 + 0 14 + 1x = 5 Add '-14' to each side of the equation. 14 + -14 + 1x = 5 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = 5 + -14 1x = 5 + -14 Combine like terms: 5 + -14 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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