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Simplifying 11x + -1(16 + -5x) = 6(7 + 2x) 11x + (16 * -1 + -5x * -1) = 6(7 + 2x) 11x + (-16 + 5x) = 6(7 + 2x) Reorder the terms: -16 + 11x + 5x = 6(7 + 2x) Combine like terms: 11x + 5x = 16x -16 + 16x = 6(7 + 2x) -16 + 16x = (7 * 6 + 2x * 6) -16 + 16x = (42 + 12x) Solving -16 + 16x = 42 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -16 + 16x + -12x = 42 + 12x + -12x Combine like terms: 16x + -12x = 4x -16 + 4x = 42 + 12x + -12x Combine like terms: 12x + -12x = 0 -16 + 4x = 42 + 0 -16 + 4x = 42 Add '16' to each side of the equation. -16 + 16 + 4x = 42 + 16 Combine like terms: -16 + 16 = 0 0 + 4x = 42 + 16 4x = 42 + 16 Combine like terms: 42 + 16 = 58 4x = 58 Divide each side by '4'. x = 14.5 Simplifying x = 14.5
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