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Simplifying 12x + -1(6 + 8x) = 0.5(8x + -12) 12x + (6 * -1 + 8x * -1) = 0.5(8x + -12) 12x + (-6 + -8x) = 0.5(8x + -12) Reorder the terms: -6 + 12x + -8x = 0.5(8x + -12) Combine like terms: 12x + -8x = 4x -6 + 4x = 0.5(8x + -12) Reorder the terms: -6 + 4x = 0.5(-12 + 8x) -6 + 4x = (-12 * 0.5 + 8x * 0.5) -6 + 4x = (-6 + 4x) Add '6' to each side of the equation. -6 + 6 + 4x = -6 + 6 + 4x Combine like terms: -6 + 6 = 0 0 + 4x = -6 + 6 + 4x 4x = -6 + 6 + 4x Combine like terms: -6 + 6 = 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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