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