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Simplifying 4(x + -7) + x = 5(x + -7) + 7 Reorder the terms: 4(-7 + x) + x = 5(x + -7) + 7 (-7 * 4 + x * 4) + x = 5(x + -7) + 7 (-28 + 4x) + x = 5(x + -7) + 7 Combine like terms: 4x + x = 5x -28 + 5x = 5(x + -7) + 7 Reorder the terms: -28 + 5x = 5(-7 + x) + 7 -28 + 5x = (-7 * 5 + x * 5) + 7 -28 + 5x = (-35 + 5x) + 7 Reorder the terms: -28 + 5x = -35 + 7 + 5x Combine like terms: -35 + 7 = -28 -28 + 5x = -28 + 5x Add '28' to each side of the equation. -28 + 28 + 5x = -28 + 28 + 5x Combine like terms: -28 + 28 = 0 0 + 5x = -28 + 28 + 5x 5x = -28 + 28 + 5x Combine like terms: -28 + 28 = 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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