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Simplifying 8(x + 5) = 2(4x + 5) + 30 Reorder the terms: 8(5 + x) = 2(4x + 5) + 30 (5 * 8 + x * 8) = 2(4x + 5) + 30 (40 + 8x) = 2(4x + 5) + 30 Reorder the terms: 40 + 8x = 2(5 + 4x) + 30 40 + 8x = (5 * 2 + 4x * 2) + 30 40 + 8x = (10 + 8x) + 30 Reorder the terms: 40 + 8x = 10 + 30 + 8x Combine like terms: 10 + 30 = 40 40 + 8x = 40 + 8x Add '-40' to each side of the equation. 40 + -40 + 8x = 40 + -40 + 8x Combine like terms: 40 + -40 = 0 0 + 8x = 40 + -40 + 8x 8x = 40 + -40 + 8x Combine like terms: 40 + -40 = 0 8x = 0 + 8x 8x = 8x Add '-8x' to each side of the equation. 8x + -8x = 8x + -8x Combine like terms: 8x + -8x = 0 0 = 8x + -8x Combine like terms: 8x + -8x = 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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