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Simplifying 8(x + 1) + 5(2x + 3) = 4(4x + 9) Reorder the terms: 8(1 + x) + 5(2x + 3) = 4(4x + 9) (1 * 8 + x * 8) + 5(2x + 3) = 4(4x + 9) (8 + 8x) + 5(2x + 3) = 4(4x + 9) Reorder the terms: 8 + 8x + 5(3 + 2x) = 4(4x + 9) 8 + 8x + (3 * 5 + 2x * 5) = 4(4x + 9) 8 + 8x + (15 + 10x) = 4(4x + 9) Reorder the terms: 8 + 15 + 8x + 10x = 4(4x + 9) Combine like terms: 8 + 15 = 23 23 + 8x + 10x = 4(4x + 9) Combine like terms: 8x + 10x = 18x 23 + 18x = 4(4x + 9) Reorder the terms: 23 + 18x = 4(9 + 4x) 23 + 18x = (9 * 4 + 4x * 4) 23 + 18x = (36 + 16x) Solving 23 + 18x = 36 + 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. 23 + 18x + -16x = 36 + 16x + -16x Combine like terms: 18x + -16x = 2x 23 + 2x = 36 + 16x + -16x Combine like terms: 16x + -16x = 0 23 + 2x = 36 + 0 23 + 2x = 36 Add '-23' to each side of the equation. 23 + -23 + 2x = 36 + -23 Combine like terms: 23 + -23 = 0 0 + 2x = 36 + -23 2x = 36 + -23 Combine like terms: 36 + -23 = 13 2x = 13 Divide each side by '2'. x = 6.5 Simplifying x = 6.5
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