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Simplifying 5(x + -7) = 4(x + -3) + x + -23 Reorder the terms: 5(-7 + x) = 4(x + -3) + x + -23 (-7 * 5 + x * 5) = 4(x + -3) + x + -23 (-35 + 5x) = 4(x + -3) + x + -23 Reorder the terms: -35 + 5x = 4(-3 + x) + x + -23 -35 + 5x = (-3 * 4 + x * 4) + x + -23 -35 + 5x = (-12 + 4x) + x + -23 Reorder the terms: -35 + 5x = -12 + -23 + 4x + x Combine like terms: -12 + -23 = -35 -35 + 5x = -35 + 4x + x Combine like terms: 4x + x = 5x -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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