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Simplifying 5(x + 6) + -2 = 30 + -2x + -2 + 7x Reorder the terms: 5(6 + x) + -2 = 30 + -2x + -2 + 7x (6 * 5 + x * 5) + -2 = 30 + -2x + -2 + 7x (30 + 5x) + -2 = 30 + -2x + -2 + 7x Reorder the terms: 30 + -2 + 5x = 30 + -2x + -2 + 7x Combine like terms: 30 + -2 = 28 28 + 5x = 30 + -2x + -2 + 7x Reorder the terms: 28 + 5x = 30 + -2 + -2x + 7x Combine like terms: 30 + -2 = 28 28 + 5x = 28 + -2x + 7x Combine like terms: -2x + 7x = 5x 28 + 5x = 28 + 5x Add '-28' to each side of the equation. 28 + -28 + 5x = 28 + -28 + 5x Combine like terms: 28 + -28 = 0 0 + 5x = 28 + -28 + 5x 5x = 28 + -28 + 5x Combine like terms: 28 + -28 = 0 5x = 0 + 5x 5x = 5x Add '-5x' to each side of the equation. 5x + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 0 = 5x + -5x Combine like terms: 5x + -5x = 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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