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Simplifying 5(x + 1) + -3(x + 2) = 3 Reorder the terms: 5(1 + x) + -3(x + 2) = 3 (1 * 5 + x * 5) + -3(x + 2) = 3 (5 + 5x) + -3(x + 2) = 3 Reorder the terms: 5 + 5x + -3(2 + x) = 3 5 + 5x + (2 * -3 + x * -3) = 3 5 + 5x + (-6 + -3x) = 3 Reorder the terms: 5 + -6 + 5x + -3x = 3 Combine like terms: 5 + -6 = -1 -1 + 5x + -3x = 3 Combine like terms: 5x + -3x = 2x -1 + 2x = 3 Solving -1 + 2x = 3 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 = 3 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 3 + 1 2x = 3 + 1 Combine like terms: 3 + 1 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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