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Simplifying (5x + -6) + -1(2x + 10) = 3(x + 1) Reorder the terms: (-6 + 5x) + -1(2x + 10) = 3(x + 1) Remove parenthesis around (-6 + 5x) -6 + 5x + -1(2x + 10) = 3(x + 1) Reorder the terms: -6 + 5x + -1(10 + 2x) = 3(x + 1) -6 + 5x + (10 * -1 + 2x * -1) = 3(x + 1) -6 + 5x + (-10 + -2x) = 3(x + 1) Reorder the terms: -6 + -10 + 5x + -2x = 3(x + 1) Combine like terms: -6 + -10 = -16 -16 + 5x + -2x = 3(x + 1) Combine like terms: 5x + -2x = 3x -16 + 3x = 3(x + 1) Reorder the terms: -16 + 3x = 3(1 + x) -16 + 3x = (1 * 3 + x * 3) -16 + 3x = (3 + 3x) Add '-3x' to each side of the equation. -16 + 3x + -3x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 -16 + 0 = 3 + 3x + -3x -16 = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 -16 = 3 + 0 -16 = 3 Solving -16 = 3 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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