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Simplifying 5(2x + -3) + -1x = 3(3x + -5) Reorder the terms: 5(-3 + 2x) + -1x = 3(3x + -5) (-3 * 5 + 2x * 5) + -1x = 3(3x + -5) (-15 + 10x) + -1x = 3(3x + -5) Combine like terms: 10x + -1x = 9x -15 + 9x = 3(3x + -5) Reorder the terms: -15 + 9x = 3(-5 + 3x) -15 + 9x = (-5 * 3 + 3x * 3) -15 + 9x = (-15 + 9x) Add '15' to each side of the equation. -15 + 15 + 9x = -15 + 15 + 9x Combine like terms: -15 + 15 = 0 0 + 9x = -15 + 15 + 9x 9x = -15 + 15 + 9x Combine like terms: -15 + 15 = 0 9x = 0 + 9x 9x = 9x Add '-9x' to each side of the equation. 9x + -9x = 9x + -9x Combine like terms: 9x + -9x = 0 0 = 9x + -9x Combine like terms: 9x + -9x = 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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