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Simplifying 2(19x + 2) = -3(20x + 14) Reorder the terms: 2(2 + 19x) = -3(20x + 14) (2 * 2 + 19x * 2) = -3(20x + 14) (4 + 38x) = -3(20x + 14) Reorder the terms: 4 + 38x = -3(14 + 20x) 4 + 38x = (14 * -3 + 20x * -3) 4 + 38x = (-42 + -60x) Solving 4 + 38x = -42 + -60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '60x' to each side of the equation. 4 + 38x + 60x = -42 + -60x + 60x Combine like terms: 38x + 60x = 98x 4 + 98x = -42 + -60x + 60x Combine like terms: -60x + 60x = 0 4 + 98x = -42 + 0 4 + 98x = -42 Add '-4' to each side of the equation. 4 + -4 + 98x = -42 + -4 Combine like terms: 4 + -4 = 0 0 + 98x = -42 + -4 98x = -42 + -4 Combine like terms: -42 + -4 = -46 98x = -46 Divide each side by '98'. x = -0.4693877551 Simplifying x = -0.4693877551
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