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Simplifying 7x + 1 + -2(-6x + -2) = 5(x + -1) Reorder the terms: 7x + 1 + -2(-2 + -6x) = 5(x + -1) 7x + 1 + (-2 * -2 + -6x * -2) = 5(x + -1) 7x + 1 + (4 + 12x) = 5(x + -1) Reorder the terms: 1 + 4 + 7x + 12x = 5(x + -1) Combine like terms: 1 + 4 = 5 5 + 7x + 12x = 5(x + -1) Combine like terms: 7x + 12x = 19x 5 + 19x = 5(x + -1) Reorder the terms: 5 + 19x = 5(-1 + x) 5 + 19x = (-1 * 5 + x * 5) 5 + 19x = (-5 + 5x) Solving 5 + 19x = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 5 + 19x + -5x = -5 + 5x + -5x Combine like terms: 19x + -5x = 14x 5 + 14x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + 14x = -5 + 0 5 + 14x = -5 Add '-5' to each side of the equation. 5 + -5 + 14x = -5 + -5 Combine like terms: 5 + -5 = 0 0 + 14x = -5 + -5 14x = -5 + -5 Combine like terms: -5 + -5 = -10 14x = -10 Divide each side by '14'. x = -0.7142857143 Simplifying x = -0.7142857143
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