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Simplifying 3(x + 1) + 2(10 + -1x) = 63 Reorder the terms: 3(1 + x) + 2(10 + -1x) = 63 (1 * 3 + x * 3) + 2(10 + -1x) = 63 (3 + 3x) + 2(10 + -1x) = 63 3 + 3x + (10 * 2 + -1x * 2) = 63 3 + 3x + (20 + -2x) = 63 Reorder the terms: 3 + 20 + 3x + -2x = 63 Combine like terms: 3 + 20 = 23 23 + 3x + -2x = 63 Combine like terms: 3x + -2x = 1x 23 + 1x = 63 Solving 23 + 1x = 63 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 1x = 63 + -23 Combine like terms: 23 + -23 = 0 0 + 1x = 63 + -23 1x = 63 + -23 Combine like terms: 63 + -23 = 40 1x = 40 Divide each side by '1'. x = 40 Simplifying x = 40
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