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Simplifying 17x + -2x + 5 = 19 + 13x Reorder the terms: 5 + 17x + -2x = 19 + 13x Combine like terms: 17x + -2x = 15x 5 + 15x = 19 + 13x Solving 5 + 15x = 19 + 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. 5 + 15x + -13x = 19 + 13x + -13x Combine like terms: 15x + -13x = 2x 5 + 2x = 19 + 13x + -13x Combine like terms: 13x + -13x = 0 5 + 2x = 19 + 0 5 + 2x = 19 Add '-5' to each side of the equation. 5 + -5 + 2x = 19 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 19 + -5 2x = 19 + -5 Combine like terms: 19 + -5 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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