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Simplifying 5 + 3(x + -4) = 7x + -1(4x + -1) Reorder the terms: 5 + 3(-4 + x) = 7x + -1(4x + -1) 5 + (-4 * 3 + x * 3) = 7x + -1(4x + -1) 5 + (-12 + 3x) = 7x + -1(4x + -1) Combine like terms: 5 + -12 = -7 -7 + 3x = 7x + -1(4x + -1) Reorder the terms: -7 + 3x = 7x + -1(-1 + 4x) -7 + 3x = 7x + (-1 * -1 + 4x * -1) -7 + 3x = 7x + (1 + -4x) Reorder the terms: -7 + 3x = 1 + 7x + -4x Combine like terms: 7x + -4x = 3x -7 + 3x = 1 + 3x Add '-3x' to each side of the equation. -7 + 3x + -3x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + 0 = 1 + 3x + -3x -7 = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 = 1 + 0 -7 = 1 Solving -7 = 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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