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Simplifying 13x + 10 = 5(2x + 1) + 3x + 5 Reorder the terms: 10 + 13x = 5(2x + 1) + 3x + 5 Reorder the terms: 10 + 13x = 5(1 + 2x) + 3x + 5 10 + 13x = (1 * 5 + 2x * 5) + 3x + 5 10 + 13x = (5 + 10x) + 3x + 5 Reorder the terms: 10 + 13x = 5 + 5 + 10x + 3x Combine like terms: 5 + 5 = 10 10 + 13x = 10 + 10x + 3x Combine like terms: 10x + 3x = 13x 10 + 13x = 10 + 13x Add '-10' to each side of the equation. 10 + -10 + 13x = 10 + -10 + 13x Combine like terms: 10 + -10 = 0 0 + 13x = 10 + -10 + 13x 13x = 10 + -10 + 13x Combine like terms: 10 + -10 = 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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