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Simplifying 5(x + -8) + x = 6(x + -8) + 8 Reorder the terms: 5(-8 + x) + x = 6(x + -8) + 8 (-8 * 5 + x * 5) + x = 6(x + -8) + 8 (-40 + 5x) + x = 6(x + -8) + 8 Combine like terms: 5x + x = 6x -40 + 6x = 6(x + -8) + 8 Reorder the terms: -40 + 6x = 6(-8 + x) + 8 -40 + 6x = (-8 * 6 + x * 6) + 8 -40 + 6x = (-48 + 6x) + 8 Reorder the terms: -40 + 6x = -48 + 8 + 6x Combine like terms: -48 + 8 = -40 -40 + 6x = -40 + 6x Add '40' to each side of the equation. -40 + 40 + 6x = -40 + 40 + 6x Combine like terms: -40 + 40 = 0 0 + 6x = -40 + 40 + 6x 6x = -40 + 40 + 6x Combine like terms: -40 + 40 = 0 6x = 0 + 6x 6x = 6x Add '-6x' to each side of the equation. 6x + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 0 = 6x + -6x Combine like terms: 6x + -6x = 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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