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Simplifying 3x + 2(x + -4) = x + 4(x + -2) Reorder the terms: 3x + 2(-4 + x) = x + 4(x + -2) 3x + (-4 * 2 + x * 2) = x + 4(x + -2) 3x + (-8 + 2x) = x + 4(x + -2) Reorder the terms: -8 + 3x + 2x = x + 4(x + -2) Combine like terms: 3x + 2x = 5x -8 + 5x = x + 4(x + -2) Reorder the terms: -8 + 5x = x + 4(-2 + x) -8 + 5x = x + (-2 * 4 + x * 4) -8 + 5x = x + (-8 + 4x) Reorder the terms: -8 + 5x = -8 + x + 4x Combine like terms: x + 4x = 5x -8 + 5x = -8 + 5x Add '8' to each side of the equation. -8 + 8 + 5x = -8 + 8 + 5x Combine like terms: -8 + 8 = 0 0 + 5x = -8 + 8 + 5x 5x = -8 + 8 + 5x Combine like terms: -8 + 8 = 0 5x = 0 + 5x 5x = 5x Add '-5x' to each side of the equation. 5x + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 0 = 5x + -5x Combine like terms: 5x + -5x = 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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