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Simplifying 11 = 5(2 + 2x) + -3(1 + 4x) 11 = (2 * 5 + 2x * 5) + -3(1 + 4x) 11 = (10 + 10x) + -3(1 + 4x) 11 = 10 + 10x + (1 * -3 + 4x * -3) 11 = 10 + 10x + (-3 + -12x) Reorder the terms: 11 = 10 + -3 + 10x + -12x Combine like terms: 10 + -3 = 7 11 = 7 + 10x + -12x Combine like terms: 10x + -12x = -2x 11 = 7 + -2x Solving 11 = 7 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 11 + 2x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 11 + 2x = 7 + 0 11 + 2x = 7 Add '-11' to each side of the equation. 11 + -11 + 2x = 7 + -11 Combine like terms: 11 + -11 = 0 0 + 2x = 7 + -11 2x = 7 + -11 Combine like terms: 7 + -11 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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