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Simplifying 5(4x + 2) + 9 = 2(8x + 7) Reorder the terms: 5(2 + 4x) + 9 = 2(8x + 7) (2 * 5 + 4x * 5) + 9 = 2(8x + 7) (10 + 20x) + 9 = 2(8x + 7) Reorder the terms: 10 + 9 + 20x = 2(8x + 7) Combine like terms: 10 + 9 = 19 19 + 20x = 2(8x + 7) Reorder the terms: 19 + 20x = 2(7 + 8x) 19 + 20x = (7 * 2 + 8x * 2) 19 + 20x = (14 + 16x) Solving 19 + 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. 19 + 20x + -16x = 14 + 16x + -16x Combine like terms: 20x + -16x = 4x 19 + 4x = 14 + 16x + -16x Combine like terms: 16x + -16x = 0 19 + 4x = 14 + 0 19 + 4x = 14 Add '-19' to each side of the equation. 19 + -19 + 4x = 14 + -19 Combine like terms: 19 + -19 = 0 0 + 4x = 14 + -19 4x = 14 + -19 Combine like terms: 14 + -19 = -5 4x = -5 Divide each side by '4'. x = -1.25 Simplifying x = -1.25
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