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Simplifying 13x + 15 = 2(3x + 4) + 7x + 7 Reorder the terms: 15 + 13x = 2(3x + 4) + 7x + 7 Reorder the terms: 15 + 13x = 2(4 + 3x) + 7x + 7 15 + 13x = (4 * 2 + 3x * 2) + 7x + 7 15 + 13x = (8 + 6x) + 7x + 7 Reorder the terms: 15 + 13x = 8 + 7 + 6x + 7x Combine like terms: 8 + 7 = 15 15 + 13x = 15 + 6x + 7x Combine like terms: 6x + 7x = 13x 15 + 13x = 15 + 13x Add '-15' to each side of the equation. 15 + -15 + 13x = 15 + -15 + 13x Combine like terms: 15 + -15 = 0 0 + 13x = 15 + -15 + 13x 13x = 15 + -15 + 13x Combine like terms: 15 + -15 = 0 13x = 0 + 13x 13x = 13x Add '-13x' to each side of the equation. 13x + -13x = 13x + -13x Combine like terms: 13x + -13x = 0 0 = 13x + -13x Combine like terms: 13x + -13x = 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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