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Simplifying 4(x + 1) + 54 = 9x + -5(x + -8) Reorder the terms: 4(1 + x) + 54 = 9x + -5(x + -8) (1 * 4 + x * 4) + 54 = 9x + -5(x + -8) (4 + 4x) + 54 = 9x + -5(x + -8) Reorder the terms: 4 + 54 + 4x = 9x + -5(x + -8) Combine like terms: 4 + 54 = 58 58 + 4x = 9x + -5(x + -8) Reorder the terms: 58 + 4x = 9x + -5(-8 + x) 58 + 4x = 9x + (-8 * -5 + x * -5) 58 + 4x = 9x + (40 + -5x) Reorder the terms: 58 + 4x = 40 + 9x + -5x Combine like terms: 9x + -5x = 4x 58 + 4x = 40 + 4x Add '-4x' to each side of the equation. 58 + 4x + -4x = 40 + 4x + -4x Combine like terms: 4x + -4x = 0 58 + 0 = 40 + 4x + -4x 58 = 40 + 4x + -4x Combine like terms: 4x + -4x = 0 58 = 40 + 0 58 = 40 Solving 58 = 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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