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Simplifying 5x + -12(x + 4) = 5 + -7(x + 5) Reorder the terms: 5x + -12(4 + x) = 5 + -7(x + 5) 5x + (4 * -12 + x * -12) = 5 + -7(x + 5) 5x + (-48 + -12x) = 5 + -7(x + 5) Reorder the terms: -48 + 5x + -12x = 5 + -7(x + 5) Combine like terms: 5x + -12x = -7x -48 + -7x = 5 + -7(x + 5) Reorder the terms: -48 + -7x = 5 + -7(5 + x) -48 + -7x = 5 + (5 * -7 + x * -7) -48 + -7x = 5 + (-35 + -7x) Combine like terms: 5 + -35 = -30 -48 + -7x = -30 + -7x Add '7x' to each side of the equation. -48 + -7x + 7x = -30 + -7x + 7x Combine like terms: -7x + 7x = 0 -48 + 0 = -30 + -7x + 7x -48 = -30 + -7x + 7x Combine like terms: -7x + 7x = 0 -48 = -30 + 0 -48 = -30 Solving -48 = -30 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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