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Simplifying 2(3x + -10) = 4 + -2(x + 12) + 8x Reorder the terms: 2(-10 + 3x) = 4 + -2(x + 12) + 8x (-10 * 2 + 3x * 2) = 4 + -2(x + 12) + 8x (-20 + 6x) = 4 + -2(x + 12) + 8x Reorder the terms: -20 + 6x = 4 + -2(12 + x) + 8x -20 + 6x = 4 + (12 * -2 + x * -2) + 8x -20 + 6x = 4 + (-24 + -2x) + 8x Combine like terms: 4 + -24 = -20 -20 + 6x = -20 + -2x + 8x Combine like terms: -2x + 8x = 6x -20 + 6x = -20 + 6x Add '20' to each side of the equation. -20 + 20 + 6x = -20 + 20 + 6x Combine like terms: -20 + 20 = 0 0 + 6x = -20 + 20 + 6x 6x = -20 + 20 + 6x Combine like terms: -20 + 20 = 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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