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Simplifying 16x + -9(x + 3) = 5 + 7(x + 5) Reorder the terms: 16x + -9(3 + x) = 5 + 7(x + 5) 16x + (3 * -9 + x * -9) = 5 + 7(x + 5) 16x + (-27 + -9x) = 5 + 7(x + 5) Reorder the terms: -27 + 16x + -9x = 5 + 7(x + 5) Combine like terms: 16x + -9x = 7x -27 + 7x = 5 + 7(x + 5) Reorder the terms: -27 + 7x = 5 + 7(5 + x) -27 + 7x = 5 + (5 * 7 + x * 7) -27 + 7x = 5 + (35 + 7x) Combine like terms: 5 + 35 = 40 -27 + 7x = 40 + 7x Add '-7x' to each side of the equation. -27 + 7x + -7x = 40 + 7x + -7x Combine like terms: 7x + -7x = 0 -27 + 0 = 40 + 7x + -7x -27 = 40 + 7x + -7x Combine like terms: 7x + -7x = 0 -27 = 40 + 0 -27 = 40 Solving -27 = 40 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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