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Simplifying (5x + 2) = [3(x + 13)] Reorder the terms: (2 + 5x) = [3(x + 13)] Remove parenthesis around (2 + 5x) 2 + 5x = [3(x + 13)] Reorder the terms: 2 + 5x = [3(13 + x)] 2 + 5x = [(13 * 3 + x * 3)] 2 + 5x = [(39 + 3x)] 2 + 5x = [39 + 3x] Remove brackets around [39 + 3x] 2 + 5x = 39 + 3x Solving 2 + 5x = 39 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 2 + 5x + -3x = 39 + 3x + -3x Combine like terms: 5x + -3x = 2x 2 + 2x = 39 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + 2x = 39 + 0 2 + 2x = 39 Add '-2' to each side of the equation. 2 + -2 + 2x = 39 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 39 + -2 2x = 39 + -2 Combine like terms: 39 + -2 = 37 2x = 37 Divide each side by '2'. x = 18.5 Simplifying x = 18.5
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