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Simplifying 2(-4x + 3) = -7x + -1(-6 + x) Reorder the terms: 2(3 + -4x) = -7x + -1(-6 + x) (3 * 2 + -4x * 2) = -7x + -1(-6 + x) (6 + -8x) = -7x + -1(-6 + x) 6 + -8x = -7x + (-6 * -1 + x * -1) 6 + -8x = -7x + (6 + -1x) Reorder the terms: 6 + -8x = 6 + -7x + -1x Combine like terms: -7x + -1x = -8x 6 + -8x = 6 + -8x Add '-6' to each side of the equation. 6 + -6 + -8x = 6 + -6 + -8x Combine like terms: 6 + -6 = 0 0 + -8x = 6 + -6 + -8x -8x = 6 + -6 + -8x Combine like terms: 6 + -6 = 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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