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Simplifying 6x + 45 = 9(x + 5) + -3x Reorder the terms: 45 + 6x = 9(x + 5) + -3x Reorder the terms: 45 + 6x = 9(5 + x) + -3x 45 + 6x = (5 * 9 + x * 9) + -3x 45 + 6x = (45 + 9x) + -3x Combine like terms: 9x + -3x = 6x 45 + 6x = 45 + 6x Add '-45' to each side of the equation. 45 + -45 + 6x = 45 + -45 + 6x Combine like terms: 45 + -45 = 0 0 + 6x = 45 + -45 + 6x 6x = 45 + -45 + 6x Combine like terms: 45 + -45 = 0 6x = 0 + 6x 6x = 6x Add '-6x' to each side of the equation. 6x + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 0 = 6x + -6x Combine like terms: 6x + -6x = 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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