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Simplifying 7x + 45 = 9(x + 5) + -2x Reorder the terms: 45 + 7x = 9(x + 5) + -2x Reorder the terms: 45 + 7x = 9(5 + x) + -2x 45 + 7x = (5 * 9 + x * 9) + -2x 45 + 7x = (45 + 9x) + -2x Combine like terms: 9x + -2x = 7x 45 + 7x = 45 + 7x Add '-45' to each side of the equation. 45 + -45 + 7x = 45 + -45 + 7x Combine like terms: 45 + -45 = 0 0 + 7x = 45 + -45 + 7x 7x = 45 + -45 + 7x Combine like terms: 45 + -45 = 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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