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Simplifying [2x + 3(x + 1)] = x + 20 Reorder the terms: [2x + 3(1 + x)] = x + 20 [2x + (1 * 3 + x * 3)] = x + 20 [2x + (3 + 3x)] = x + 20 Reorder the terms: [3 + 2x + 3x] = x + 20 Combine like terms: 2x + 3x = 5x [3 + 5x] = x + 20 Remove brackets around [3 + 5x] 3 + 5x = x + 20 Reorder the terms: 3 + 5x = 20 + x Solving 3 + 5x = 20 + 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. 3 + 5x + -1x = 20 + x + -1x Combine like terms: 5x + -1x = 4x 3 + 4x = 20 + x + -1x Combine like terms: x + -1x = 0 3 + 4x = 20 + 0 3 + 4x = 20 Add '-3' to each side of the equation. 3 + -3 + 4x = 20 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 20 + -3 4x = 20 + -3 Combine like terms: 20 + -3 = 17 4x = 17 Divide each side by '4'. x = 4.25 Simplifying x = 4.25
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