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Simplifying 2(3x + -17) = 8x + -12 Reorder the terms: 2(-17 + 3x) = 8x + -12 (-17 * 2 + 3x * 2) = 8x + -12 (-34 + 6x) = 8x + -12 Reorder the terms: -34 + 6x = -12 + 8x Solving -34 + 6x = -12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -34 + 6x + -8x = -12 + 8x + -8x Combine like terms: 6x + -8x = -2x -34 + -2x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 -34 + -2x = -12 + 0 -34 + -2x = -12 Add '34' to each side of the equation. -34 + 34 + -2x = -12 + 34 Combine like terms: -34 + 34 = 0 0 + -2x = -12 + 34 -2x = -12 + 34 Combine like terms: -12 + 34 = 22 -2x = 22 Divide each side by '-2'. x = -11 Simplifying x = -11
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