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Simplifying 17x + -8 = 3(5x + -2) Reorder the terms: -8 + 17x = 3(5x + -2) Reorder the terms: -8 + 17x = 3(-2 + 5x) -8 + 17x = (-2 * 3 + 5x * 3) -8 + 17x = (-6 + 15x) Solving -8 + 17x = -6 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -8 + 17x + -15x = -6 + 15x + -15x Combine like terms: 17x + -15x = 2x -8 + 2x = -6 + 15x + -15x Combine like terms: 15x + -15x = 0 -8 + 2x = -6 + 0 -8 + 2x = -6 Add '8' to each side of the equation. -8 + 8 + 2x = -6 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = -6 + 8 2x = -6 + 8 Combine like terms: -6 + 8 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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