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