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Simplifying 2x + -5(2x + 1) = 6x + 2 Reorder the terms: 2x + -5(1 + 2x) = 6x + 2 2x + (1 * -5 + 2x * -5) = 6x + 2 2x + (-5 + -10x) = 6x + 2 Reorder the terms: -5 + 2x + -10x = 6x + 2 Combine like terms: 2x + -10x = -8x -5 + -8x = 6x + 2 Reorder the terms: -5 + -8x = 2 + 6x Solving -5 + -8x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -5 + -8x + -6x = 2 + 6x + -6x Combine like terms: -8x + -6x = -14x -5 + -14x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + -14x = 2 + 0 -5 + -14x = 2 Add '5' to each side of the equation. -5 + 5 + -14x = 2 + 5 Combine like terms: -5 + 5 = 0 0 + -14x = 2 + 5 -14x = 2 + 5 Combine like terms: 2 + 5 = 7 -14x = 7 Divide each side by '-14'. x = -0.5 Simplifying x = -0.5
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