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Simplifying 27x + -13 + -15x = 3(4x + -5) + 2 Reorder the terms: -13 + 27x + -15x = 3(4x + -5) + 2 Combine like terms: 27x + -15x = 12x -13 + 12x = 3(4x + -5) + 2 Reorder the terms: -13 + 12x = 3(-5 + 4x) + 2 -13 + 12x = (-5 * 3 + 4x * 3) + 2 -13 + 12x = (-15 + 12x) + 2 Reorder the terms: -13 + 12x = -15 + 2 + 12x Combine like terms: -15 + 2 = -13 -13 + 12x = -13 + 12x Add '13' to each side of the equation. -13 + 13 + 12x = -13 + 13 + 12x Combine like terms: -13 + 13 = 0 0 + 12x = -13 + 13 + 12x 12x = -13 + 13 + 12x Combine like terms: -13 + 13 = 0 12x = 0 + 12x 12x = 12x Add '-12x' to each side of the equation. 12x + -12x = 12x + -12x Combine like terms: 12x + -12x = 0 0 = 12x + -12x Combine like terms: 12x + -12x = 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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