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Simplifying 4(x + -6) + 12 = 6x + -1(2x + 7) + -5 Reorder the terms: 4(-6 + x) + 12 = 6x + -1(2x + 7) + -5 (-6 * 4 + x * 4) + 12 = 6x + -1(2x + 7) + -5 (-24 + 4x) + 12 = 6x + -1(2x + 7) + -5 Reorder the terms: -24 + 12 + 4x = 6x + -1(2x + 7) + -5 Combine like terms: -24 + 12 = -12 -12 + 4x = 6x + -1(2x + 7) + -5 Reorder the terms: -12 + 4x = 6x + -1(7 + 2x) + -5 -12 + 4x = 6x + (7 * -1 + 2x * -1) + -5 -12 + 4x = 6x + (-7 + -2x) + -5 Reorder the terms: -12 + 4x = -7 + -5 + 6x + -2x Combine like terms: -7 + -5 = -12 -12 + 4x = -12 + 6x + -2x Combine like terms: 6x + -2x = 4x -12 + 4x = -12 + 4x Add '12' to each side of the equation. -12 + 12 + 4x = -12 + 12 + 4x Combine like terms: -12 + 12 = 0 0 + 4x = -12 + 12 + 4x 4x = -12 + 12 + 4x Combine like terms: -12 + 12 = 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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