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Simplifying 2(5x + 1) = 3x + -7x Reorder the terms: 2(1 + 5x) = 3x + -7x (1 * 2 + 5x * 2) = 3x + -7x (2 + 10x) = 3x + -7x Combine like terms: 3x + -7x = -4x 2 + 10x = -4x Solving 2 + 10x = -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. 2 + 10x + 4x = -4x + 4x Combine like terms: 10x + 4x = 14x 2 + 14x = -4x + 4x Combine like terms: -4x + 4x = 0 2 + 14x = 0 Add '-2' to each side of the equation. 2 + -2 + 14x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 14x = 0 + -2 14x = 0 + -2 Combine like terms: 0 + -2 = -2 14x = -2 Divide each side by '14'. x = -0.1428571429 Simplifying x = -0.1428571429
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