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Simplifying 11 + -1(16 + -5x) = 6(7 + 2x) 11 + (16 * -1 + -5x * -1) = 6(7 + 2x) 11 + (-16 + 5x) = 6(7 + 2x) Combine like terms: 11 + -16 = -5 -5 + 5x = 6(7 + 2x) -5 + 5x = (7 * 6 + 2x * 6) -5 + 5x = (42 + 12x) Solving -5 + 5x = 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. -5 + 5x + -12x = 42 + 12x + -12x Combine like terms: 5x + -12x = -7x -5 + -7x = 42 + 12x + -12x Combine like terms: 12x + -12x = 0 -5 + -7x = 42 + 0 -5 + -7x = 42 Add '5' to each side of the equation. -5 + 5 + -7x = 42 + 5 Combine like terms: -5 + 5 = 0 0 + -7x = 42 + 5 -7x = 42 + 5 Combine like terms: 42 + 5 = 47 -7x = 47 Divide each side by '-7'. x = -6.714285714 Simplifying x = -6.714285714
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