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Simplifying 2(3x + 5x) + 17 = 13x + 20 Combine like terms: 3x + 5x = 8x 2(8x) + 17 = 13x + 20 Remove parenthesis around (8x) 2 * 8x + 17 = 13x + 20 Multiply 2 * 8 16x + 17 = 13x + 20 Reorder the terms: 17 + 16x = 13x + 20 Reorder the terms: 17 + 16x = 20 + 13x Solving 17 + 16x = 20 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 17 + 16x + -13x = 20 + 13x + -13x Combine like terms: 16x + -13x = 3x 17 + 3x = 20 + 13x + -13x Combine like terms: 13x + -13x = 0 17 + 3x = 20 + 0 17 + 3x = 20 Add '-17' to each side of the equation. 17 + -17 + 3x = 20 + -17 Combine like terms: 17 + -17 = 0 0 + 3x = 20 + -17 3x = 20 + -17 Combine like terms: 20 + -17 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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