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Simplifying -5(x + 3) + 84 = 4x + -9(x + -5) Reorder the terms: -5(3 + x) + 84 = 4x + -9(x + -5) (3 * -5 + x * -5) + 84 = 4x + -9(x + -5) (-15 + -5x) + 84 = 4x + -9(x + -5) Reorder the terms: -15 + 84 + -5x = 4x + -9(x + -5) Combine like terms: -15 + 84 = 69 69 + -5x = 4x + -9(x + -5) Reorder the terms: 69 + -5x = 4x + -9(-5 + x) 69 + -5x = 4x + (-5 * -9 + x * -9) 69 + -5x = 4x + (45 + -9x) Reorder the terms: 69 + -5x = 45 + 4x + -9x Combine like terms: 4x + -9x = -5x 69 + -5x = 45 + -5x Add '5x' to each side of the equation. 69 + -5x + 5x = 45 + -5x + 5x Combine like terms: -5x + 5x = 0 69 + 0 = 45 + -5x + 5x 69 = 45 + -5x + 5x Combine like terms: -5x + 5x = 0 69 = 45 + 0 69 = 45 Solving 69 = 45 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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