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Simplifying 2(7x + 1) = 5(1 + -3x) Reorder the terms: 2(1 + 7x) = 5(1 + -3x) (1 * 2 + 7x * 2) = 5(1 + -3x) (2 + 14x) = 5(1 + -3x) 2 + 14x = (1 * 5 + -3x * 5) 2 + 14x = (5 + -15x) Solving 2 + 14x = 5 + -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. 2 + 14x + 15x = 5 + -15x + 15x Combine like terms: 14x + 15x = 29x 2 + 29x = 5 + -15x + 15x Combine like terms: -15x + 15x = 0 2 + 29x = 5 + 0 2 + 29x = 5 Add '-2' to each side of the equation. 2 + -2 + 29x = 5 + -2 Combine like terms: 2 + -2 = 0 0 + 29x = 5 + -2 29x = 5 + -2 Combine like terms: 5 + -2 = 3 29x = 3 Divide each side by '29'. x = 0.1034482759 Simplifying x = 0.1034482759
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