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Simplifying 7(x + -5) + -2x = 5(x + -6) + -5 Reorder the terms: 7(-5 + x) + -2x = 5(x + -6) + -5 (-5 * 7 + x * 7) + -2x = 5(x + -6) + -5 (-35 + 7x) + -2x = 5(x + -6) + -5 Combine like terms: 7x + -2x = 5x -35 + 5x = 5(x + -6) + -5 Reorder the terms: -35 + 5x = 5(-6 + x) + -5 -35 + 5x = (-6 * 5 + x * 5) + -5 -35 + 5x = (-30 + 5x) + -5 Reorder the terms: -35 + 5x = -30 + -5 + 5x Combine like terms: -30 + -5 = -35 -35 + 5x = -35 + 5x Add '35' to each side of the equation. -35 + 35 + 5x = -35 + 35 + 5x Combine like terms: -35 + 35 = 0 0 + 5x = -35 + 35 + 5x 5x = -35 + 35 + 5x Combine like terms: -35 + 35 = 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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