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Simplifying 116 = x + (2x + 1) + (4x + 3) + (8x + 5) Reorder the terms: 116 = x + (1 + 2x) + (4x + 3) + (8x + 5) Remove parenthesis around (1 + 2x) 116 = x + 1 + 2x + (4x + 3) + (8x + 5) Reorder the terms: 116 = x + 1 + 2x + (3 + 4x) + (8x + 5) Remove parenthesis around (3 + 4x) 116 = x + 1 + 2x + 3 + 4x + (8x + 5) Reorder the terms: 116 = x + 1 + 2x + 3 + 4x + (5 + 8x) Remove parenthesis around (5 + 8x) 116 = x + 1 + 2x + 3 + 4x + 5 + 8x Reorder the terms: 116 = 1 + 3 + 5 + x + 2x + 4x + 8x Combine like terms: 1 + 3 = 4 116 = 4 + 5 + x + 2x + 4x + 8x Combine like terms: 4 + 5 = 9 116 = 9 + x + 2x + 4x + 8x Combine like terms: x + 2x = 3x 116 = 9 + 3x + 4x + 8x Combine like terms: 3x + 4x = 7x 116 = 9 + 7x + 8x Combine like terms: 7x + 8x = 15x 116 = 9 + 15x Solving 116 = 9 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 116 + -15x = 9 + 15x + -15x Combine like terms: 15x + -15x = 0 116 + -15x = 9 + 0 116 + -15x = 9 Add '-116' to each side of the equation. 116 + -116 + -15x = 9 + -116 Combine like terms: 116 + -116 = 0 0 + -15x = 9 + -116 -15x = 9 + -116 Combine like terms: 9 + -116 = -107 -15x = -107 Divide each side by '-15'. x = 7.133333333 Simplifying x = 7.133333333
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