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Simplifying 17x + -5 = 2(x + 5) Reorder the terms: -5 + 17x = 2(x + 5) Reorder the terms: -5 + 17x = 2(5 + x) -5 + 17x = (5 * 2 + x * 2) -5 + 17x = (10 + 2x) Solving -5 + 17x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + 17x + -2x = 10 + 2x + -2x Combine like terms: 17x + -2x = 15x -5 + 15x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + 15x = 10 + 0 -5 + 15x = 10 Add '5' to each side of the equation. -5 + 5 + 15x = 10 + 5 Combine like terms: -5 + 5 = 0 0 + 15x = 10 + 5 15x = 10 + 5 Combine like terms: 10 + 5 = 15 15x = 15 Divide each side by '15'. x = 1 Simplifying x = 1
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