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Simplifying 3(x + 7) = 2(x + 1) + 20 Reorder the terms: 3(7 + x) = 2(x + 1) + 20 (7 * 3 + x * 3) = 2(x + 1) + 20 (21 + 3x) = 2(x + 1) + 20 Reorder the terms: 21 + 3x = 2(1 + x) + 20 21 + 3x = (1 * 2 + x * 2) + 20 21 + 3x = (2 + 2x) + 20 Reorder the terms: 21 + 3x = 2 + 20 + 2x Combine like terms: 2 + 20 = 22 21 + 3x = 22 + 2x Solving 21 + 3x = 22 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 21 + 3x + -2x = 22 + 2x + -2x Combine like terms: 3x + -2x = 1x 21 + 1x = 22 + 2x + -2x Combine like terms: 2x + -2x = 0 21 + 1x = 22 + 0 21 + 1x = 22 Add '-21' to each side of the equation. 21 + -21 + 1x = 22 + -21 Combine like terms: 21 + -21 = 0 0 + 1x = 22 + -21 1x = 22 + -21 Combine like terms: 22 + -21 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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