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