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Simplifying -2x + -3(4 + -2x) = 2(x + -3) * 2 -2x + (4 * -3 + -2x * -3) = 2(x + -3) * 2 -2x + (-12 + 6x) = 2(x + -3) * 2 Reorder the terms: -12 + -2x + 6x = 2(x + -3) * 2 Combine like terms: -2x + 6x = 4x -12 + 4x = 2(x + -3) * 2 Reorder the terms: -12 + 4x = 2(-3 + x) * 2 Reorder the terms for easier multiplication: -12 + 4x = 2 * 2(-3 + x) Multiply 2 * 2 -12 + 4x = 4(-3 + x) -12 + 4x = (-3 * 4 + x * 4) -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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