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Simplifying 5(x + -7) + 8 = 2x + 3(x + -9) Reorder the terms: 5(-7 + x) + 8 = 2x + 3(x + -9) (-7 * 5 + x * 5) + 8 = 2x + 3(x + -9) (-35 + 5x) + 8 = 2x + 3(x + -9) Reorder the terms: -35 + 8 + 5x = 2x + 3(x + -9) Combine like terms: -35 + 8 = -27 -27 + 5x = 2x + 3(x + -9) Reorder the terms: -27 + 5x = 2x + 3(-9 + x) -27 + 5x = 2x + (-9 * 3 + x * 3) -27 + 5x = 2x + (-27 + 3x) Reorder the terms: -27 + 5x = -27 + 2x + 3x Combine like terms: 2x + 3x = 5x -27 + 5x = -27 + 5x Add '27' to each side of the equation. -27 + 27 + 5x = -27 + 27 + 5x Combine like terms: -27 + 27 = 0 0 + 5x = -27 + 27 + 5x 5x = -27 + 27 + 5x Combine like terms: -27 + 27 = 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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