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Simplifying 2(x + -6) + 2x = 4(x + 5) + -32 Reorder the terms: 2(-6 + x) + 2x = 4(x + 5) + -32 (-6 * 2 + x * 2) + 2x = 4(x + 5) + -32 (-12 + 2x) + 2x = 4(x + 5) + -32 Combine like terms: 2x + 2x = 4x -12 + 4x = 4(x + 5) + -32 Reorder the terms: -12 + 4x = 4(5 + x) + -32 -12 + 4x = (5 * 4 + x * 4) + -32 -12 + 4x = (20 + 4x) + -32 Reorder the terms: -12 + 4x = 20 + -32 + 4x Combine like terms: 20 + -32 = -12 -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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