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Simplifying 5(4x + -6) = 2(10x + -15) Reorder the terms: 5(-6 + 4x) = 2(10x + -15) (-6 * 5 + 4x * 5) = 2(10x + -15) (-30 + 20x) = 2(10x + -15) Reorder the terms: -30 + 20x = 2(-15 + 10x) -30 + 20x = (-15 * 2 + 10x * 2) -30 + 20x = (-30 + 20x) Add '30' to each side of the equation. -30 + 30 + 20x = -30 + 30 + 20x Combine like terms: -30 + 30 = 0 0 + 20x = -30 + 30 + 20x 20x = -30 + 30 + 20x Combine like terms: -30 + 30 = 0 20x = 0 + 20x 20x = 20x Add '-20x' to each side of the equation. 20x + -20x = 20x + -20x Combine like terms: 20x + -20x = 0 0 = 20x + -20x Combine like terms: 20x + -20x = 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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