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Simplifying 5x + -12 = 7(x + 2) + -2x + -26 Reorder the terms: -12 + 5x = 7(x + 2) + -2x + -26 Reorder the terms: -12 + 5x = 7(2 + x) + -2x + -26 -12 + 5x = (2 * 7 + x * 7) + -2x + -26 -12 + 5x = (14 + 7x) + -2x + -26 Reorder the terms: -12 + 5x = 14 + -26 + 7x + -2x Combine like terms: 14 + -26 = -12 -12 + 5x = -12 + 7x + -2x Combine like terms: 7x + -2x = 5x -12 + 5x = -12 + 5x Add '12' to each side of the equation. -12 + 12 + 5x = -12 + 12 + 5x Combine like terms: -12 + 12 = 0 0 + 5x = -12 + 12 + 5x 5x = -12 + 12 + 5x Combine like terms: -12 + 12 = 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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