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Simplifying 4(5x + 1) + -6 = 2(8x + 9) Reorder the terms: 4(1 + 5x) + -6 = 2(8x + 9) (1 * 4 + 5x * 4) + -6 = 2(8x + 9) (4 + 20x) + -6 = 2(8x + 9) Reorder the terms: 4 + -6 + 20x = 2(8x + 9) Combine like terms: 4 + -6 = -2 -2 + 20x = 2(8x + 9) Reorder the terms: -2 + 20x = 2(9 + 8x) -2 + 20x = (9 * 2 + 8x * 2) -2 + 20x = (18 + 16x) Solving -2 + 20x = 18 + 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 = 18 + 16x + -16x Combine like terms: 20x + -16x = 4x -2 + 4x = 18 + 16x + -16x Combine like terms: 16x + -16x = 0 -2 + 4x = 18 + 0 -2 + 4x = 18 Add '2' to each side of the equation. -2 + 2 + 4x = 18 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = 18 + 2 4x = 18 + 2 Combine like terms: 18 + 2 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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