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Simplifying 5(3x + 2) + -4x = 17 + -1(6 + -4x) Reorder the terms: 5(2 + 3x) + -4x = 17 + -1(6 + -4x) (2 * 5 + 3x * 5) + -4x = 17 + -1(6 + -4x) (10 + 15x) + -4x = 17 + -1(6 + -4x) Combine like terms: 15x + -4x = 11x 10 + 11x = 17 + -1(6 + -4x) 10 + 11x = 17 + (6 * -1 + -4x * -1) 10 + 11x = 17 + (-6 + 4x) Combine like terms: 17 + -6 = 11 10 + 11x = 11 + 4x Solving 10 + 11x = 11 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 10 + 11x + -4x = 11 + 4x + -4x Combine like terms: 11x + -4x = 7x 10 + 7x = 11 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + 7x = 11 + 0 10 + 7x = 11 Add '-10' to each side of the equation. 10 + -10 + 7x = 11 + -10 Combine like terms: 10 + -10 = 0 0 + 7x = 11 + -10 7x = 11 + -10 Combine like terms: 11 + -10 = 1 7x = 1 Divide each side by '7'. x = 0.1428571429 Simplifying x = 0.1428571429
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