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Simplifying 12x + -5 = 2(4x + -7) + 4x + 9 Reorder the terms: -5 + 12x = 2(4x + -7) + 4x + 9 Reorder the terms: -5 + 12x = 2(-7 + 4x) + 4x + 9 -5 + 12x = (-7 * 2 + 4x * 2) + 4x + 9 -5 + 12x = (-14 + 8x) + 4x + 9 Reorder the terms: -5 + 12x = -14 + 9 + 8x + 4x Combine like terms: -14 + 9 = -5 -5 + 12x = -5 + 8x + 4x Combine like terms: 8x + 4x = 12x -5 + 12x = -5 + 12x Add '5' to each side of the equation. -5 + 5 + 12x = -5 + 5 + 12x Combine like terms: -5 + 5 = 0 0 + 12x = -5 + 5 + 12x 12x = -5 + 5 + 12x Combine like terms: -5 + 5 = 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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