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Simplifying 6x + 1 + -2(-7x + -1) = 5(x + -3) Reorder the terms: 6x + 1 + -2(-1 + -7x) = 5(x + -3) 6x + 1 + (-1 * -2 + -7x * -2) = 5(x + -3) 6x + 1 + (2 + 14x) = 5(x + -3) Reorder the terms: 1 + 2 + 6x + 14x = 5(x + -3) Combine like terms: 1 + 2 = 3 3 + 6x + 14x = 5(x + -3) Combine like terms: 6x + 14x = 20x 3 + 20x = 5(x + -3) Reorder the terms: 3 + 20x = 5(-3 + x) 3 + 20x = (-3 * 5 + x * 5) 3 + 20x = (-15 + 5x) Solving 3 + 20x = -15 + 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. 3 + 20x + -5x = -15 + 5x + -5x Combine like terms: 20x + -5x = 15x 3 + 15x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + 15x = -15 + 0 3 + 15x = -15 Add '-3' to each side of the equation. 3 + -3 + 15x = -15 + -3 Combine like terms: 3 + -3 = 0 0 + 15x = -15 + -3 15x = -15 + -3 Combine like terms: -15 + -3 = -18 15x = -18 Divide each side by '15'. x = -1.2 Simplifying x = -1.2
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