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Simplifying (17x) + (4x + 13) = 20x + 18 Reorder the terms: (17x) + (13 + 4x) = 20x + 18 Remove parenthesis around (13 + 4x) (17x) + 13 + 4x = 20x + 18 Reorder the terms: 13 + (17x) + 4x = 20x + 18 Combine like terms: (17x) + 4x = 21x 13 + 21x = 20x + 18 Reorder the terms: 13 + 21x = 18 + 20x Solving 13 + 21x = 18 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 13 + 21x + -20x = 18 + 20x + -20x Combine like terms: 21x + -20x = 1x 13 + 1x = 18 + 20x + -20x Combine like terms: 20x + -20x = 0 13 + 1x = 18 + 0 13 + 1x = 18 Add '-13' to each side of the equation. 13 + -13 + 1x = 18 + -13 Combine like terms: 13 + -13 = 0 0 + 1x = 18 + -13 1x = 18 + -13 Combine like terms: 18 + -13 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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