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Simplifying 10(-2x + 1) = -12(x + 2) + 34 + -8x Reorder the terms: 10(1 + -2x) = -12(x + 2) + 34 + -8x (1 * 10 + -2x * 10) = -12(x + 2) + 34 + -8x (10 + -20x) = -12(x + 2) + 34 + -8x Reorder the terms: 10 + -20x = -12(2 + x) + 34 + -8x 10 + -20x = (2 * -12 + x * -12) + 34 + -8x 10 + -20x = (-24 + -12x) + 34 + -8x Reorder the terms: 10 + -20x = -24 + 34 + -12x + -8x Combine like terms: -24 + 34 = 10 10 + -20x = 10 + -12x + -8x Combine like terms: -12x + -8x = -20x 10 + -20x = 10 + -20x Add '-10' to each side of the equation. 10 + -10 + -20x = 10 + -10 + -20x Combine like terms: 10 + -10 = 0 0 + -20x = 10 + -10 + -20x -20x = 10 + -10 + -20x Combine like terms: 10 + -10 = 0 -20x = 0 + -20x -20x = -20x Add '20x' to each side of the equation. -20x + 20x = -20x + 20x Combine like terms: -20x + 20x = 0 0 = -20x + 20x Combine like terms: -20x + 20x = 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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