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Simplifying 4(10 + 2x) = 3x + 5(x + 8) (10 * 4 + 2x * 4) = 3x + 5(x + 8) (40 + 8x) = 3x + 5(x + 8) Reorder the terms: 40 + 8x = 3x + 5(8 + x) 40 + 8x = 3x + (8 * 5 + x * 5) 40 + 8x = 3x + (40 + 5x) Reorder the terms: 40 + 8x = 40 + 3x + 5x Combine like terms: 3x + 5x = 8x 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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