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Simplifying 7x + 13 = 2(2x + -5) + 3x + 23 Reorder the terms: 13 + 7x = 2(2x + -5) + 3x + 23 Reorder the terms: 13 + 7x = 2(-5 + 2x) + 3x + 23 13 + 7x = (-5 * 2 + 2x * 2) + 3x + 23 13 + 7x = (-10 + 4x) + 3x + 23 Reorder the terms: 13 + 7x = -10 + 23 + 4x + 3x Combine like terms: -10 + 23 = 13 13 + 7x = 13 + 4x + 3x Combine like terms: 4x + 3x = 7x 13 + 7x = 13 + 7x Add '-13' to each side of the equation. 13 + -13 + 7x = 13 + -13 + 7x Combine like terms: 13 + -13 = 0 0 + 7x = 13 + -13 + 7x 7x = 13 + -13 + 7x Combine like terms: 13 + -13 = 0 7x = 0 + 7x 7x = 7x Add '-7x' to each side of the equation. 7x + -7x = 7x + -7x Combine like terms: 7x + -7x = 0 0 = 7x + -7x Combine like terms: 7x + -7x = 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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