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Simplifying 5(4x + -2) + 8 = 2(8x + 7) Reorder the terms: 5(-2 + 4x) + 8 = 2(8x + 7) (-2 * 5 + 4x * 5) + 8 = 2(8x + 7) (-10 + 20x) + 8 = 2(8x + 7) Reorder the terms: -10 + 8 + 20x = 2(8x + 7) Combine like terms: -10 + 8 = -2 -2 + 20x = 2(8x + 7) Reorder the terms: -2 + 20x = 2(7 + 8x) -2 + 20x = (7 * 2 + 8x * 2) -2 + 20x = (14 + 16x) Solving -2 + 20x = 14 + 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. -2 + 20x + -16x = 14 + 16x + -16x Combine like terms: 20x + -16x = 4x -2 + 4x = 14 + 16x + -16x Combine like terms: 16x + -16x = 0 -2 + 4x = 14 + 0 -2 + 4x = 14 Add '2' to each side of the equation. -2 + 2 + 4x = 14 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = 14 + 2 4x = 14 + 2 Combine like terms: 14 + 2 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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