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Simplifying 5x + -8 + -12x + 10 = -7(x + -2) + -12 Reorder the terms: -8 + 10 + 5x + -12x = -7(x + -2) + -12 Combine like terms: -8 + 10 = 2 2 + 5x + -12x = -7(x + -2) + -12 Combine like terms: 5x + -12x = -7x 2 + -7x = -7(x + -2) + -12 Reorder the terms: 2 + -7x = -7(-2 + x) + -12 2 + -7x = (-2 * -7 + x * -7) + -12 2 + -7x = (14 + -7x) + -12 Reorder the terms: 2 + -7x = 14 + -12 + -7x Combine like terms: 14 + -12 = 2 2 + -7x = 2 + -7x Add '-2' to each side of the equation. 2 + -2 + -7x = 2 + -2 + -7x Combine like terms: 2 + -2 = 0 0 + -7x = 2 + -2 + -7x -7x = 2 + -2 + -7x Combine like terms: 2 + -2 = 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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