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Simplifying 8(x + 5) = 4(2x + 1) + 36 Reorder the terms: 8(5 + x) = 4(2x + 1) + 36 (5 * 8 + x * 8) = 4(2x + 1) + 36 (40 + 8x) = 4(2x + 1) + 36 Reorder the terms: 40 + 8x = 4(1 + 2x) + 36 40 + 8x = (1 * 4 + 2x * 4) + 36 40 + 8x = (4 + 8x) + 36 Reorder the terms: 40 + 8x = 4 + 36 + 8x Combine like terms: 4 + 36 = 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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