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Simplifying 23 + -19x = -5(7x + 2) + -5(-3 + -3x) Reorder the terms: 23 + -19x = -5(2 + 7x) + -5(-3 + -3x) 23 + -19x = (2 * -5 + 7x * -5) + -5(-3 + -3x) 23 + -19x = (-10 + -35x) + -5(-3 + -3x) 23 + -19x = -10 + -35x + (-3 * -5 + -3x * -5) 23 + -19x = -10 + -35x + (15 + 15x) Reorder the terms: 23 + -19x = -10 + 15 + -35x + 15x Combine like terms: -10 + 15 = 5 23 + -19x = 5 + -35x + 15x Combine like terms: -35x + 15x = -20x 23 + -19x = 5 + -20x Solving 23 + -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. 23 + -19x + 20x = 5 + -20x + 20x Combine like terms: -19x + 20x = 1x 23 + 1x = 5 + -20x + 20x Combine like terms: -20x + 20x = 0 23 + 1x = 5 + 0 23 + 1x = 5 Add '-23' to each side of the equation. 23 + -23 + 1x = 5 + -23 Combine like terms: 23 + -23 = 0 0 + 1x = 5 + -23 1x = 5 + -23 Combine like terms: 5 + -23 = -18 1x = -18 Divide each side by '1'. x = -18 Simplifying x = -18
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