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Simplifying 3(2x + -8) + 2 = -2(10 + -3x) + -2 Reorder the terms: 3(-8 + 2x) + 2 = -2(10 + -3x) + -2 (-8 * 3 + 2x * 3) + 2 = -2(10 + -3x) + -2 (-24 + 6x) + 2 = -2(10 + -3x) + -2 Reorder the terms: -24 + 2 + 6x = -2(10 + -3x) + -2 Combine like terms: -24 + 2 = -22 -22 + 6x = -2(10 + -3x) + -2 -22 + 6x = (10 * -2 + -3x * -2) + -2 -22 + 6x = (-20 + 6x) + -2 Reorder the terms: -22 + 6x = -20 + -2 + 6x Combine like terms: -20 + -2 = -22 -22 + 6x = -22 + 6x Add '22' to each side of the equation. -22 + 22 + 6x = -22 + 22 + 6x Combine like terms: -22 + 22 = 0 0 + 6x = -22 + 22 + 6x 6x = -22 + 22 + 6x Combine like terms: -22 + 22 = 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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