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Simplifying 5(3x + 2) + -2 = 2(1 + -7x) Reorder the terms: 5(2 + 3x) + -2 = 2(1 + -7x) (2 * 5 + 3x * 5) + -2 = 2(1 + -7x) (10 + 15x) + -2 = 2(1 + -7x) Reorder the terms: 10 + -2 + 15x = 2(1 + -7x) Combine like terms: 10 + -2 = 8 8 + 15x = 2(1 + -7x) 8 + 15x = (1 * 2 + -7x * 2) 8 + 15x = (2 + -14x) Solving 8 + 15x = 2 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 8 + 15x + 14x = 2 + -14x + 14x Combine like terms: 15x + 14x = 29x 8 + 29x = 2 + -14x + 14x Combine like terms: -14x + 14x = 0 8 + 29x = 2 + 0 8 + 29x = 2 Add '-8' to each side of the equation. 8 + -8 + 29x = 2 + -8 Combine like terms: 8 + -8 = 0 0 + 29x = 2 + -8 29x = 2 + -8 Combine like terms: 2 + -8 = -6 29x = -6 Divide each side by '29'. x = -0.2068965517 Simplifying x = -0.2068965517
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