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Simplifying 4(x + -9) + x = 5(x + -8) + 4 Reorder the terms: 4(-9 + x) + x = 5(x + -8) + 4 (-9 * 4 + x * 4) + x = 5(x + -8) + 4 (-36 + 4x) + x = 5(x + -8) + 4 Combine like terms: 4x + x = 5x -36 + 5x = 5(x + -8) + 4 Reorder the terms: -36 + 5x = 5(-8 + x) + 4 -36 + 5x = (-8 * 5 + x * 5) + 4 -36 + 5x = (-40 + 5x) + 4 Reorder the terms: -36 + 5x = -40 + 4 + 5x Combine like terms: -40 + 4 = -36 -36 + 5x = -36 + 5x Add '36' to each side of the equation. -36 + 36 + 5x = -36 + 36 + 5x Combine like terms: -36 + 36 = 0 0 + 5x = -36 + 36 + 5x 5x = -36 + 36 + 5x Combine like terms: -36 + 36 = 0 5x = 0 + 5x 5x = 5x Add '-5x' to each side of the equation. 5x + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 0 = 5x + -5x Combine like terms: 5x + -5x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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