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Simplifying 7(x + 5) = 9x + 3 + -2x + 32 Reorder the terms: 7(5 + x) = 9x + 3 + -2x + 32 (5 * 7 + x * 7) = 9x + 3 + -2x + 32 (35 + 7x) = 9x + 3 + -2x + 32 Reorder the terms: 35 + 7x = 3 + 32 + 9x + -2x Combine like terms: 3 + 32 = 35 35 + 7x = 35 + 9x + -2x Combine like terms: 9x + -2x = 7x 35 + 7x = 35 + 7x Add '-35' to each side of the equation. 35 + -35 + 7x = 35 + -35 + 7x Combine like terms: 35 + -35 = 0 0 + 7x = 35 + -35 + 7x 7x = 35 + -35 + 7x Combine like terms: 35 + -35 = 0 7x = 0 + 7x 7x = 7x Add '-7x' to each side of the equation. 7x + -7x = 7x + -7x Combine like terms: 7x + -7x = 0 0 = 7x + -7x Combine like terms: 7x + -7x = 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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