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Simplifying -1(7x + 10) = -1(5x + -6) Reorder the terms: -1(10 + 7x) = -1(5x + -6) (10 * -1 + 7x * -1) = -1(5x + -6) (-10 + -7x) = -1(5x + -6) Reorder the terms: -10 + -7x = -1(-6 + 5x) -10 + -7x = (-6 * -1 + 5x * -1) -10 + -7x = (6 + -5x) Solving -10 + -7x = 6 + -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. -10 + -7x + 5x = 6 + -5x + 5x Combine like terms: -7x + 5x = -2x -10 + -2x = 6 + -5x + 5x Combine like terms: -5x + 5x = 0 -10 + -2x = 6 + 0 -10 + -2x = 6 Add '10' to each side of the equation. -10 + 10 + -2x = 6 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = 6 + 10 -2x = 6 + 10 Combine like terms: 6 + 10 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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