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Simplifying 4(x + -1) = 2(2x + -8) + 12 Reorder the terms: 4(-1 + x) = 2(2x + -8) + 12 (-1 * 4 + x * 4) = 2(2x + -8) + 12 (-4 + 4x) = 2(2x + -8) + 12 Reorder the terms: -4 + 4x = 2(-8 + 2x) + 12 -4 + 4x = (-8 * 2 + 2x * 2) + 12 -4 + 4x = (-16 + 4x) + 12 Reorder the terms: -4 + 4x = -16 + 12 + 4x Combine like terms: -16 + 12 = -4 -4 + 4x = -4 + 4x Add '4' to each side of the equation. -4 + 4 + 4x = -4 + 4 + 4x Combine like terms: -4 + 4 = 0 0 + 4x = -4 + 4 + 4x 4x = -4 + 4 + 4x Combine like terms: -4 + 4 = 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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