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Simplifying 5(x + 1) + -3(x + 2) = 11 Reorder the terms: 5(1 + x) + -3(x + 2) = 11 (1 * 5 + x * 5) + -3(x + 2) = 11 (5 + 5x) + -3(x + 2) = 11 Reorder the terms: 5 + 5x + -3(2 + x) = 11 5 + 5x + (2 * -3 + x * -3) = 11 5 + 5x + (-6 + -3x) = 11 Reorder the terms: 5 + -6 + 5x + -3x = 11 Combine like terms: 5 + -6 = -1 -1 + 5x + -3x = 11 Combine like terms: 5x + -3x = 2x -1 + 2x = 11 Solving -1 + 2x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2x = 11 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 11 + 1 2x = 11 + 1 Combine like terms: 11 + 1 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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