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Simplifying 5(4x + -2) = 2(8x + 1) Reorder the terms: 5(-2 + 4x) = 2(8x + 1) (-2 * 5 + 4x * 5) = 2(8x + 1) (-10 + 20x) = 2(8x + 1) Reorder the terms: -10 + 20x = 2(1 + 8x) -10 + 20x = (1 * 2 + 8x * 2) -10 + 20x = (2 + 16x) Solving -10 + 20x = 2 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -10 + 20x + -16x = 2 + 16x + -16x Combine like terms: 20x + -16x = 4x -10 + 4x = 2 + 16x + -16x Combine like terms: 16x + -16x = 0 -10 + 4x = 2 + 0 -10 + 4x = 2 Add '10' to each side of the equation. -10 + 10 + 4x = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = 2 + 10 4x = 2 + 10 Combine like terms: 2 + 10 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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