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Simplifying 4(x + -5) + 12 = 8x + -1(4x + 6) + -2 Reorder the terms: 4(-5 + x) + 12 = 8x + -1(4x + 6) + -2 (-5 * 4 + x * 4) + 12 = 8x + -1(4x + 6) + -2 (-20 + 4x) + 12 = 8x + -1(4x + 6) + -2 Reorder the terms: -20 + 12 + 4x = 8x + -1(4x + 6) + -2 Combine like terms: -20 + 12 = -8 -8 + 4x = 8x + -1(4x + 6) + -2 Reorder the terms: -8 + 4x = 8x + -1(6 + 4x) + -2 -8 + 4x = 8x + (6 * -1 + 4x * -1) + -2 -8 + 4x = 8x + (-6 + -4x) + -2 Reorder the terms: -8 + 4x = -6 + -2 + 8x + -4x Combine like terms: -6 + -2 = -8 -8 + 4x = -8 + 8x + -4x Combine like terms: 8x + -4x = 4x -8 + 4x = -8 + 4x Add '8' to each side of the equation. -8 + 8 + 4x = -8 + 8 + 4x Combine like terms: -8 + 8 = 0 0 + 4x = -8 + 8 + 4x 4x = -8 + 8 + 4x Combine like terms: -8 + 8 = 0 4x = 0 + 4x 4x = 4x Add '-4x' to each side of the equation. 4x + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 0 = 4x + -4x Combine like terms: 4x + -4x = 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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