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Simplifying 5(x + 8) = 7x + 5 + -2x + 35 Reorder the terms: 5(8 + x) = 7x + 5 + -2x + 35 (8 * 5 + x * 5) = 7x + 5 + -2x + 35 (40 + 5x) = 7x + 5 + -2x + 35 Reorder the terms: 40 + 5x = 5 + 35 + 7x + -2x Combine like terms: 5 + 35 = 40 40 + 5x = 40 + 7x + -2x Combine like terms: 7x + -2x = 5x 40 + 5x = 40 + 5x Add '-40' to each side of the equation. 40 + -40 + 5x = 40 + -40 + 5x Combine like terms: 40 + -40 = 0 0 + 5x = 40 + -40 + 5x 5x = 40 + -40 + 5x Combine like terms: 40 + -40 = 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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