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Simplifying 3(x + 7) + 2(x + 3) = x + 39 Reorder the terms: 3(7 + x) + 2(x + 3) = x + 39 (7 * 3 + x * 3) + 2(x + 3) = x + 39 (21 + 3x) + 2(x + 3) = x + 39 Reorder the terms: 21 + 3x + 2(3 + x) = x + 39 21 + 3x + (3 * 2 + x * 2) = x + 39 21 + 3x + (6 + 2x) = x + 39 Reorder the terms: 21 + 6 + 3x + 2x = x + 39 Combine like terms: 21 + 6 = 27 27 + 3x + 2x = x + 39 Combine like terms: 3x + 2x = 5x 27 + 5x = x + 39 Reorder the terms: 27 + 5x = 39 + x Solving 27 + 5x = 39 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 27 + 5x + -1x = 39 + x + -1x Combine like terms: 5x + -1x = 4x 27 + 4x = 39 + x + -1x Combine like terms: x + -1x = 0 27 + 4x = 39 + 0 27 + 4x = 39 Add '-27' to each side of the equation. 27 + -27 + 4x = 39 + -27 Combine like terms: 27 + -27 = 0 0 + 4x = 39 + -27 4x = 39 + -27 Combine like terms: 39 + -27 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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