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Simplifying 7(2 + -5x) + -32 = 10x + -3(6 + 15x) (2 * 7 + -5x * 7) + -32 = 10x + -3(6 + 15x) (14 + -35x) + -32 = 10x + -3(6 + 15x) Reorder the terms: 14 + -32 + -35x = 10x + -3(6 + 15x) Combine like terms: 14 + -32 = -18 -18 + -35x = 10x + -3(6 + 15x) -18 + -35x = 10x + (6 * -3 + 15x * -3) -18 + -35x = 10x + (-18 + -45x) Reorder the terms: -18 + -35x = -18 + 10x + -45x Combine like terms: 10x + -45x = -35x -18 + -35x = -18 + -35x Add '18' to each side of the equation. -18 + 18 + -35x = -18 + 18 + -35x Combine like terms: -18 + 18 = 0 0 + -35x = -18 + 18 + -35x -35x = -18 + 18 + -35x Combine like terms: -18 + 18 = 0 -35x = 0 + -35x -35x = -35x Add '35x' to each side of the equation. -35x + 35x = -35x + 35x Combine like terms: -35x + 35x = 0 0 = -35x + 35x Combine like terms: -35x + 35x = 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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