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Simplifying 5(2x + 1) = 2x + -6x Reorder the terms: 5(1 + 2x) = 2x + -6x (1 * 5 + 2x * 5) = 2x + -6x (5 + 10x) = 2x + -6x Combine like terms: 2x + -6x = -4x 5 + 10x = -4x Solving 5 + 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. 5 + 10x + 4x = -4x + 4x Combine like terms: 10x + 4x = 14x 5 + 14x = -4x + 4x Combine like terms: -4x + 4x = 0 5 + 14x = 0 Add '-5' to each side of the equation. 5 + -5 + 14x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 14x = 0 + -5 14x = 0 + -5 Combine like terms: 0 + -5 = -5 14x = -5 Divide each side by '14'. x = -0.3571428571 Simplifying x = -0.3571428571
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