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Simplifying 5x + 13 = 3(x + 4) + 2x + 1 Reorder the terms: 13 + 5x = 3(x + 4) + 2x + 1 Reorder the terms: 13 + 5x = 3(4 + x) + 2x + 1 13 + 5x = (4 * 3 + x * 3) + 2x + 1 13 + 5x = (12 + 3x) + 2x + 1 Reorder the terms: 13 + 5x = 12 + 1 + 3x + 2x Combine like terms: 12 + 1 = 13 13 + 5x = 13 + 3x + 2x Combine like terms: 3x + 2x = 5x 13 + 5x = 13 + 5x Add '-13' to each side of the equation. 13 + -13 + 5x = 13 + -13 + 5x Combine like terms: 13 + -13 = 0 0 + 5x = 13 + -13 + 5x 5x = 13 + -13 + 5x Combine like terms: 13 + -13 = 0 5x = 0 + 5x 5x = 5x Add '-5x' to each side of the equation. 5x + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 0 = 5x + -5x Combine like terms: 5x + -5x = 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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