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Simplifying 4x + -7(x + 3) = 22 + -3(x + -13) Reorder the terms: 4x + -7(3 + x) = 22 + -3(x + -13) 4x + (3 * -7 + x * -7) = 22 + -3(x + -13) 4x + (-21 + -7x) = 22 + -3(x + -13) Reorder the terms: -21 + 4x + -7x = 22 + -3(x + -13) Combine like terms: 4x + -7x = -3x -21 + -3x = 22 + -3(x + -13) Reorder the terms: -21 + -3x = 22 + -3(-13 + x) -21 + -3x = 22 + (-13 * -3 + x * -3) -21 + -3x = 22 + (39 + -3x) Combine like terms: 22 + 39 = 61 -21 + -3x = 61 + -3x Add '3x' to each side of the equation. -21 + -3x + 3x = 61 + -3x + 3x Combine like terms: -3x + 3x = 0 -21 + 0 = 61 + -3x + 3x -21 = 61 + -3x + 3x Combine like terms: -3x + 3x = 0 -21 = 61 + 0 -21 = 61 Solving -21 = 61 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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