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Simplifying -4(x + 1) + -32 = 3x + -7(x + 6) Reorder the terms: -4(1 + x) + -32 = 3x + -7(x + 6) (1 * -4 + x * -4) + -32 = 3x + -7(x + 6) (-4 + -4x) + -32 = 3x + -7(x + 6) Reorder the terms: -4 + -32 + -4x = 3x + -7(x + 6) Combine like terms: -4 + -32 = -36 -36 + -4x = 3x + -7(x + 6) Reorder the terms: -36 + -4x = 3x + -7(6 + x) -36 + -4x = 3x + (6 * -7 + x * -7) -36 + -4x = 3x + (-42 + -7x) Reorder the terms: -36 + -4x = -42 + 3x + -7x Combine like terms: 3x + -7x = -4x -36 + -4x = -42 + -4x Add '4x' to each side of the equation. -36 + -4x + 4x = -42 + -4x + 4x Combine like terms: -4x + 4x = 0 -36 + 0 = -42 + -4x + 4x -36 = -42 + -4x + 4x Combine like terms: -4x + 4x = 0 -36 = -42 + 0 -36 = -42 Solving -36 = -42 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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