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Simplifying -6 = -2x + 2(3x + -17) Reorder the terms: -6 = -2x + 2(-17 + 3x) -6 = -2x + (-17 * 2 + 3x * 2) -6 = -2x + (-34 + 6x) Reorder the terms: -6 = -34 + -2x + 6x Combine like terms: -2x + 6x = 4x -6 = -34 + 4x Solving -6 = -34 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + -4x = -34 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -4x = -34 + 0 -6 + -4x = -34 Add '6' to each side of the equation. -6 + 6 + -4x = -34 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = -34 + 6 -4x = -34 + 6 Combine like terms: -34 + 6 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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