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