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Simplifying 9 + -2(x + 3) = 11 + -4(x + 1) Reorder the terms: 9 + -2(3 + x) = 11 + -4(x + 1) 9 + (3 * -2 + x * -2) = 11 + -4(x + 1) 9 + (-6 + -2x) = 11 + -4(x + 1) Combine like terms: 9 + -6 = 3 3 + -2x = 11 + -4(x + 1) Reorder the terms: 3 + -2x = 11 + -4(1 + x) 3 + -2x = 11 + (1 * -4 + x * -4) 3 + -2x = 11 + (-4 + -4x) Combine like terms: 11 + -4 = 7 3 + -2x = 7 + -4x Solving 3 + -2x = 7 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 3 + -2x + 4x = 7 + -4x + 4x Combine like terms: -2x + 4x = 2x 3 + 2x = 7 + -4x + 4x Combine like terms: -4x + 4x = 0 3 + 2x = 7 + 0 3 + 2x = 7 Add '-3' to each side of the equation. 3 + -3 + 2x = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 7 + -3 2x = 7 + -3 Combine like terms: 7 + -3 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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