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Simplifying 4(x + 9) + 7 = 9x + -5(x + -3) Reorder the terms: 4(9 + x) + 7 = 9x + -5(x + -3) (9 * 4 + x * 4) + 7 = 9x + -5(x + -3) (36 + 4x) + 7 = 9x + -5(x + -3) Reorder the terms: 36 + 7 + 4x = 9x + -5(x + -3) Combine like terms: 36 + 7 = 43 43 + 4x = 9x + -5(x + -3) Reorder the terms: 43 + 4x = 9x + -5(-3 + x) 43 + 4x = 9x + (-3 * -5 + x * -5) 43 + 4x = 9x + (15 + -5x) Reorder the terms: 43 + 4x = 15 + 9x + -5x Combine like terms: 9x + -5x = 4x 43 + 4x = 15 + 4x Add '-4x' to each side of the equation. 43 + 4x + -4x = 15 + 4x + -4x Combine like terms: 4x + -4x = 0 43 + 0 = 15 + 4x + -4x 43 = 15 + 4x + -4x Combine like terms: 4x + -4x = 0 43 = 15 + 0 43 = 15 Solving 43 = 15 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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