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Simplifying 7 + -4(x + 5) + 2(x + -1) = 5x + 13 + -7(x + 2) Reorder the terms: 7 + -4(5 + x) + 2(x + -1) = 5x + 13 + -7(x + 2) 7 + (5 * -4 + x * -4) + 2(x + -1) = 5x + 13 + -7(x + 2) 7 + (-20 + -4x) + 2(x + -1) = 5x + 13 + -7(x + 2) Reorder the terms: 7 + -20 + -4x + 2(-1 + x) = 5x + 13 + -7(x + 2) 7 + -20 + -4x + (-1 * 2 + x * 2) = 5x + 13 + -7(x + 2) 7 + -20 + -4x + (-2 + 2x) = 5x + 13 + -7(x + 2) Reorder the terms: 7 + -20 + -2 + -4x + 2x = 5x + 13 + -7(x + 2) Combine like terms: 7 + -20 = -13 -13 + -2 + -4x + 2x = 5x + 13 + -7(x + 2) Combine like terms: -13 + -2 = -15 -15 + -4x + 2x = 5x + 13 + -7(x + 2) Combine like terms: -4x + 2x = -2x -15 + -2x = 5x + 13 + -7(x + 2) Reorder the terms: -15 + -2x = 5x + 13 + -7(2 + x) -15 + -2x = 5x + 13 + (2 * -7 + x * -7) -15 + -2x = 5x + 13 + (-14 + -7x) Reorder the terms: -15 + -2x = 13 + -14 + 5x + -7x Combine like terms: 13 + -14 = -1 -15 + -2x = -1 + 5x + -7x Combine like terms: 5x + -7x = -2x -15 + -2x = -1 + -2x Add '2x' to each side of the equation. -15 + -2x + 2x = -1 + -2x + 2x Combine like terms: -2x + 2x = 0 -15 + 0 = -1 + -2x + 2x -15 = -1 + -2x + 2x Combine like terms: -2x + 2x = 0 -15 = -1 + 0 -15 = -1 Solving -15 = -1 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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