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Simplifying 5(3x + -7) + 9 = 15x + -26 Reorder the terms: 5(-7 + 3x) + 9 = 15x + -26 (-7 * 5 + 3x * 5) + 9 = 15x + -26 (-35 + 15x) + 9 = 15x + -26 Reorder the terms: -35 + 9 + 15x = 15x + -26 Combine like terms: -35 + 9 = -26 -26 + 15x = 15x + -26 Reorder the terms: -26 + 15x = -26 + 15x Add '26' to each side of the equation. -26 + 26 + 15x = -26 + 26 + 15x Combine like terms: -26 + 26 = 0 0 + 15x = -26 + 26 + 15x 15x = -26 + 26 + 15x Combine like terms: -26 + 26 = 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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