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Simplifying 7(x + 1) + 3(x + -2) = 21 Reorder the terms: 7(1 + x) + 3(x + -2) = 21 (1 * 7 + x * 7) + 3(x + -2) = 21 (7 + 7x) + 3(x + -2) = 21 Reorder the terms: 7 + 7x + 3(-2 + x) = 21 7 + 7x + (-2 * 3 + x * 3) = 21 7 + 7x + (-6 + 3x) = 21 Reorder the terms: 7 + -6 + 7x + 3x = 21 Combine like terms: 7 + -6 = 1 1 + 7x + 3x = 21 Combine like terms: 7x + 3x = 10x 1 + 10x = 21 Solving 1 + 10x = 21 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 + 10x = 21 + -1 Combine like terms: 1 + -1 = 0 0 + 10x = 21 + -1 10x = 21 + -1 Combine like terms: 21 + -1 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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