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Simplifying 4(x + 1) + 6 + -3 + -2(x + 1) = 11 Reorder the terms: 4(1 + x) + 6 + -3 + -2(x + 1) = 11 (1 * 4 + x * 4) + 6 + -3 + -2(x + 1) = 11 (4 + 4x) + 6 + -3 + -2(x + 1) = 11 Reorder the terms: 4 + 4x + 6 + -3 + -2(1 + x) = 11 4 + 4x + 6 + -3 + (1 * -2 + x * -2) = 11 4 + 4x + 6 + -3 + (-2 + -2x) = 11 Reorder the terms: 4 + 6 + -3 + -2 + 4x + -2x = 11 Combine like terms: 4 + 6 = 10 10 + -3 + -2 + 4x + -2x = 11 Combine like terms: 10 + -3 = 7 7 + -2 + 4x + -2x = 11 Combine like terms: 7 + -2 = 5 5 + 4x + -2x = 11 Combine like terms: 4x + -2x = 2x 5 + 2x = 11 Solving 5 + 2x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2x = 11 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 11 + -5 2x = 11 + -5 Combine like terms: 11 + -5 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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