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Simplifying -1(x + 7) = -2x + -7(1 + -6x) Reorder the terms: -1(7 + x) = -2x + -7(1 + -6x) (7 * -1 + x * -1) = -2x + -7(1 + -6x) (-7 + -1x) = -2x + -7(1 + -6x) -7 + -1x = -2x + (1 * -7 + -6x * -7) -7 + -1x = -2x + (-7 + 42x) Reorder the terms: -7 + -1x = -7 + -2x + 42x Combine like terms: -2x + 42x = 40x -7 + -1x = -7 + 40x Add '7' to each side of the equation. -7 + 7 + -1x = -7 + 7 + 40x Combine like terms: -7 + 7 = 0 0 + -1x = -7 + 7 + 40x -1x = -7 + 7 + 40x Combine like terms: -7 + 7 = 0 -1x = 0 + 40x -1x = 40x Solving -1x = 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -1x + -40x = 40x + -40x Combine like terms: -1x + -40x = -41x -41x = 40x + -40x Combine like terms: 40x + -40x = 0 -41x = 0 Divide each side by '-41'. x = 0 Simplifying x = 0
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