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Simplifying 5(4x + -2) = 2(2x + 19) Reorder the terms: 5(-2 + 4x) = 2(2x + 19) (-2 * 5 + 4x * 5) = 2(2x + 19) (-10 + 20x) = 2(2x + 19) Reorder the terms: -10 + 20x = 2(19 + 2x) -10 + 20x = (19 * 2 + 2x * 2) -10 + 20x = (38 + 4x) Solving -10 + 20x = 38 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -10 + 20x + -4x = 38 + 4x + -4x Combine like terms: 20x + -4x = 16x -10 + 16x = 38 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + 16x = 38 + 0 -10 + 16x = 38 Add '10' to each side of the equation. -10 + 10 + 16x = 38 + 10 Combine like terms: -10 + 10 = 0 0 + 16x = 38 + 10 16x = 38 + 10 Combine like terms: 38 + 10 = 48 16x = 48 Divide each side by '16'. x = 3 Simplifying x = 3
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