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Simplifying 5(3x + -6) + 9 = 3(5x + -7) Reorder the terms: 5(-6 + 3x) + 9 = 3(5x + -7) (-6 * 5 + 3x * 5) + 9 = 3(5x + -7) (-30 + 15x) + 9 = 3(5x + -7) Reorder the terms: -30 + 9 + 15x = 3(5x + -7) Combine like terms: -30 + 9 = -21 -21 + 15x = 3(5x + -7) Reorder the terms: -21 + 15x = 3(-7 + 5x) -21 + 15x = (-7 * 3 + 5x * 3) -21 + 15x = (-21 + 15x) Add '21' to each side of the equation. -21 + 21 + 15x = -21 + 21 + 15x Combine like terms: -21 + 21 = 0 0 + 15x = -21 + 21 + 15x 15x = -21 + 21 + 15x Combine like terms: -21 + 21 = 0 15x = 0 + 15x 15x = 15x Add '-15x' to each side of the equation. 15x + -15x = 15x + -15x Combine like terms: 15x + -15x = 0 0 = 15x + -15x Combine like terms: 15x + -15x = 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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