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Simplifying 7x + -2(5x + 3) = 2 + -1(8 + 3x) Reorder the terms: 7x + -2(3 + 5x) = 2 + -1(8 + 3x) 7x + (3 * -2 + 5x * -2) = 2 + -1(8 + 3x) 7x + (-6 + -10x) = 2 + -1(8 + 3x) Reorder the terms: -6 + 7x + -10x = 2 + -1(8 + 3x) Combine like terms: 7x + -10x = -3x -6 + -3x = 2 + -1(8 + 3x) -6 + -3x = 2 + (8 * -1 + 3x * -1) -6 + -3x = 2 + (-8 + -3x) Combine like terms: 2 + -8 = -6 -6 + -3x = -6 + -3x Add '6' to each side of the equation. -6 + 6 + -3x = -6 + 6 + -3x Combine like terms: -6 + 6 = 0 0 + -3x = -6 + 6 + -3x -3x = -6 + 6 + -3x Combine like terms: -6 + 6 = 0 -3x = 0 + -3x -3x = -3x Add '3x' to each side of the equation. -3x + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 0 = -3x + 3x Combine like terms: -3x + 3x = 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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