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Simplifying 2(x + -5) = 6x + 1 + -5(-2x + -1) Reorder the terms: 2(-5 + x) = 6x + 1 + -5(-2x + -1) (-5 * 2 + x * 2) = 6x + 1 + -5(-2x + -1) (-10 + 2x) = 6x + 1 + -5(-2x + -1) Reorder the terms: -10 + 2x = 6x + 1 + -5(-1 + -2x) -10 + 2x = 6x + 1 + (-1 * -5 + -2x * -5) -10 + 2x = 6x + 1 + (5 + 10x) Reorder the terms: -10 + 2x = 1 + 5 + 6x + 10x Combine like terms: 1 + 5 = 6 -10 + 2x = 6 + 6x + 10x Combine like terms: 6x + 10x = 16x -10 + 2x = 6 + 16x Solving -10 + 2x = 6 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -10 + 2x + -16x = 6 + 16x + -16x Combine like terms: 2x + -16x = -14x -10 + -14x = 6 + 16x + -16x Combine like terms: 16x + -16x = 0 -10 + -14x = 6 + 0 -10 + -14x = 6 Add '10' to each side of the equation. -10 + 10 + -14x = 6 + 10 Combine like terms: -10 + 10 = 0 0 + -14x = 6 + 10 -14x = 6 + 10 Combine like terms: 6 + 10 = 16 -14x = 16 Divide each side by '-14'. x = -1.142857143 Simplifying x = -1.142857143
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