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Simplifying 3x + -3(2x + 5) = x + -1(4x + -7) Reorder the terms: 3x + -3(5 + 2x) = x + -1(4x + -7) 3x + (5 * -3 + 2x * -3) = x + -1(4x + -7) 3x + (-15 + -6x) = x + -1(4x + -7) Reorder the terms: -15 + 3x + -6x = x + -1(4x + -7) Combine like terms: 3x + -6x = -3x -15 + -3x = x + -1(4x + -7) Reorder the terms: -15 + -3x = x + -1(-7 + 4x) -15 + -3x = x + (-7 * -1 + 4x * -1) -15 + -3x = x + (7 + -4x) Reorder the terms: -15 + -3x = 7 + x + -4x Combine like terms: x + -4x = -3x -15 + -3x = 7 + -3x Add '3x' to each side of the equation. -15 + -3x + 3x = 7 + -3x + 3x Combine like terms: -3x + 3x = 0 -15 + 0 = 7 + -3x + 3x -15 = 7 + -3x + 3x Combine like terms: -3x + 3x = 0 -15 = 7 + 0 -15 = 7 Solving -15 = 7 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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