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Simplifying 5(2x + 10) = -2(x + 5) + 12x + 60 Reorder the terms: 5(10 + 2x) = -2(x + 5) + 12x + 60 (10 * 5 + 2x * 5) = -2(x + 5) + 12x + 60 (50 + 10x) = -2(x + 5) + 12x + 60 Reorder the terms: 50 + 10x = -2(5 + x) + 12x + 60 50 + 10x = (5 * -2 + x * -2) + 12x + 60 50 + 10x = (-10 + -2x) + 12x + 60 Reorder the terms: 50 + 10x = -10 + 60 + -2x + 12x Combine like terms: -10 + 60 = 50 50 + 10x = 50 + -2x + 12x Combine like terms: -2x + 12x = 10x 50 + 10x = 50 + 10x Add '-50' to each side of the equation. 50 + -50 + 10x = 50 + -50 + 10x Combine like terms: 50 + -50 = 0 0 + 10x = 50 + -50 + 10x 10x = 50 + -50 + 10x Combine like terms: 50 + -50 = 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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