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Simplifying 15x + -1(12 + 7x) = 8x + -12 15x + (12 * -1 + 7x * -1) = 8x + -12 15x + (-12 + -7x) = 8x + -12 Reorder the terms: -12 + 15x + -7x = 8x + -12 Combine like terms: 15x + -7x = 8x -12 + 8x = 8x + -12 Reorder the terms: -12 + 8x = -12 + 8x Add '12' to each side of the equation. -12 + 12 + 8x = -12 + 12 + 8x Combine like terms: -12 + 12 = 0 0 + 8x = -12 + 12 + 8x 8x = -12 + 12 + 8x Combine like terms: -12 + 12 = 0 8x = 0 + 8x 8x = 8x Add '-8x' to each side of the equation. 8x + -8x = 8x + -8x Combine like terms: 8x + -8x = 0 0 = 8x + -8x Combine like terms: 8x + -8x = 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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