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Simplifying 5(2x + -6) = 10(x + -3) Reorder the terms: 5(-6 + 2x) = 10(x + -3) (-6 * 5 + 2x * 5) = 10(x + -3) (-30 + 10x) = 10(x + -3) Reorder the terms: -30 + 10x = 10(-3 + x) -30 + 10x = (-3 * 10 + x * 10) -30 + 10x = (-30 + 10x) Add '30' to each side of the equation. -30 + 30 + 10x = -30 + 30 + 10x Combine like terms: -30 + 30 = 0 0 + 10x = -30 + 30 + 10x 10x = -30 + 30 + 10x Combine like terms: -30 + 30 = 0 10x = 0 + 10x 10x = 10x Add '-10x' to each side of the equation. 10x + -10x = 10x + -10x Combine like terms: 10x + -10x = 0 0 = 10x + -10x Combine like terms: 10x + -10x = 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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