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Simplifying 5(x + 6) = 7x + 7 + -2x + 23 Reorder the terms: 5(6 + x) = 7x + 7 + -2x + 23 (6 * 5 + x * 5) = 7x + 7 + -2x + 23 (30 + 5x) = 7x + 7 + -2x + 23 Reorder the terms: 30 + 5x = 7 + 23 + 7x + -2x Combine like terms: 7 + 23 = 30 30 + 5x = 30 + 7x + -2x Combine like terms: 7x + -2x = 5x 30 + 5x = 30 + 5x Add '-30' to each side of the equation. 30 + -30 + 5x = 30 + -30 + 5x Combine like terms: 30 + -30 = 0 0 + 5x = 30 + -30 + 5x 5x = 30 + -30 + 5x Combine like terms: 30 + -30 = 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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