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Simplifying 5(x + -7) + x = 6(x + -8) + 13 Reorder the terms: 5(-7 + x) + x = 6(x + -8) + 13 (-7 * 5 + x * 5) + x = 6(x + -8) + 13 (-35 + 5x) + x = 6(x + -8) + 13 Combine like terms: 5x + x = 6x -35 + 6x = 6(x + -8) + 13 Reorder the terms: -35 + 6x = 6(-8 + x) + 13 -35 + 6x = (-8 * 6 + x * 6) + 13 -35 + 6x = (-48 + 6x) + 13 Reorder the terms: -35 + 6x = -48 + 13 + 6x Combine like terms: -48 + 13 = -35 -35 + 6x = -35 + 6x Add '35' to each side of the equation. -35 + 35 + 6x = -35 + 35 + 6x Combine like terms: -35 + 35 = 0 0 + 6x = -35 + 35 + 6x 6x = -35 + 35 + 6x Combine like terms: -35 + 35 = 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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