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Simplifying 5x + 3(4x + 5) + -2(1 + -3x) = 23x + 13 Reorder the terms: 5x + 3(5 + 4x) + -2(1 + -3x) = 23x + 13 5x + (5 * 3 + 4x * 3) + -2(1 + -3x) = 23x + 13 5x + (15 + 12x) + -2(1 + -3x) = 23x + 13 5x + 15 + 12x + (1 * -2 + -3x * -2) = 23x + 13 5x + 15 + 12x + (-2 + 6x) = 23x + 13 Reorder the terms: 15 + -2 + 5x + 12x + 6x = 23x + 13 Combine like terms: 15 + -2 = 13 13 + 5x + 12x + 6x = 23x + 13 Combine like terms: 5x + 12x = 17x 13 + 17x + 6x = 23x + 13 Combine like terms: 17x + 6x = 23x 13 + 23x = 23x + 13 Reorder the terms: 13 + 23x = 13 + 23x Add '-13' to each side of the equation. 13 + -13 + 23x = 13 + -13 + 23x Combine like terms: 13 + -13 = 0 0 + 23x = 13 + -13 + 23x 23x = 13 + -13 + 23x Combine like terms: 13 + -13 = 0 23x = 0 + 23x 23x = 23x Add '-23x' to each side of the equation. 23x + -23x = 23x + -23x Combine like terms: 23x + -23x = 0 0 = 23x + -23x Combine like terms: 23x + -23x = 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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