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Simplifying 7(x + -5) + x = 8(x + -5) + 5 Reorder the terms: 7(-5 + x) + x = 8(x + -5) + 5 (-5 * 7 + x * 7) + x = 8(x + -5) + 5 (-35 + 7x) + x = 8(x + -5) + 5 Combine like terms: 7x + x = 8x -35 + 8x = 8(x + -5) + 5 Reorder the terms: -35 + 8x = 8(-5 + x) + 5 -35 + 8x = (-5 * 8 + x * 8) + 5 -35 + 8x = (-40 + 8x) + 5 Reorder the terms: -35 + 8x = -40 + 5 + 8x Combine like terms: -40 + 5 = -35 -35 + 8x = -35 + 8x Add '35' to each side of the equation. -35 + 35 + 8x = -35 + 35 + 8x Combine like terms: -35 + 35 = 0 0 + 8x = -35 + 35 + 8x 8x = -35 + 35 + 8x Combine like terms: -35 + 35 = 0 8x = 0 + 8x 8x = 8x Add '-8x' to each side of the equation. 8x + -8x = 8x + -8x Combine like terms: 8x + -8x = 0 0 = 8x + -8x Combine like terms: 8x + -8x = 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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