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Simplifying 5(x + -3) + -43 = 9x + -1(4x + 1) Reorder the terms: 5(-3 + x) + -43 = 9x + -1(4x + 1) (-3 * 5 + x * 5) + -43 = 9x + -1(4x + 1) (-15 + 5x) + -43 = 9x + -1(4x + 1) Reorder the terms: -15 + -43 + 5x = 9x + -1(4x + 1) Combine like terms: -15 + -43 = -58 -58 + 5x = 9x + -1(4x + 1) Reorder the terms: -58 + 5x = 9x + -1(1 + 4x) -58 + 5x = 9x + (1 * -1 + 4x * -1) -58 + 5x = 9x + (-1 + -4x) Reorder the terms: -58 + 5x = -1 + 9x + -4x Combine like terms: 9x + -4x = 5x -58 + 5x = -1 + 5x Add '-5x' to each side of the equation. -58 + 5x + -5x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 -58 + 0 = -1 + 5x + -5x -58 = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 -58 = -1 + 0 -58 = -1 Solving -58 = -1 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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