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