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