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Simplifying 12x + -7(x + 2) = 10(x + -1) + -1(5x + 4) Reorder the terms: 12x + -7(2 + x) = 10(x + -1) + -1(5x + 4) 12x + (2 * -7 + x * -7) = 10(x + -1) + -1(5x + 4) 12x + (-14 + -7x) = 10(x + -1) + -1(5x + 4) Reorder the terms: -14 + 12x + -7x = 10(x + -1) + -1(5x + 4) Combine like terms: 12x + -7x = 5x -14 + 5x = 10(x + -1) + -1(5x + 4) Reorder the terms: -14 + 5x = 10(-1 + x) + -1(5x + 4) -14 + 5x = (-1 * 10 + x * 10) + -1(5x + 4) -14 + 5x = (-10 + 10x) + -1(5x + 4) Reorder the terms: -14 + 5x = -10 + 10x + -1(4 + 5x) -14 + 5x = -10 + 10x + (4 * -1 + 5x * -1) -14 + 5x = -10 + 10x + (-4 + -5x) Reorder the terms: -14 + 5x = -10 + -4 + 10x + -5x Combine like terms: -10 + -4 = -14 -14 + 5x = -14 + 10x + -5x Combine like terms: 10x + -5x = 5x -14 + 5x = -14 + 5x Add '14' to each side of the equation. -14 + 14 + 5x = -14 + 14 + 5x Combine like terms: -14 + 14 = 0 0 + 5x = -14 + 14 + 5x 5x = -14 + 14 + 5x Combine like terms: -14 + 14 = 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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