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Simplifying x + 3(x + 2) = 2(x + 1) + 20 Reorder the terms: x + 3(2 + x) = 2(x + 1) + 20 x + (2 * 3 + x * 3) = 2(x + 1) + 20 x + (6 + 3x) = 2(x + 1) + 20 Reorder the terms: 6 + x + 3x = 2(x + 1) + 20 Combine like terms: x + 3x = 4x 6 + 4x = 2(x + 1) + 20 Reorder the terms: 6 + 4x = 2(1 + x) + 20 6 + 4x = (1 * 2 + x * 2) + 20 6 + 4x = (2 + 2x) + 20 Reorder the terms: 6 + 4x = 2 + 20 + 2x Combine like terms: 2 + 20 = 22 6 + 4x = 22 + 2x Solving 6 + 4x = 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. 6 + 4x + -2x = 22 + 2x + -2x Combine like terms: 4x + -2x = 2x 6 + 2x = 22 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 2x = 22 + 0 6 + 2x = 22 Add '-6' to each side of the equation. 6 + -6 + 2x = 22 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 22 + -6 2x = 22 + -6 Combine like terms: 22 + -6 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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