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Simplifying 2(x + -3) + -20 = 46 + -6x Reorder the terms: 2(-3 + x) + -20 = 46 + -6x (-3 * 2 + x * 2) + -20 = 46 + -6x (-6 + 2x) + -20 = 46 + -6x Reorder the terms: -6 + -20 + 2x = 46 + -6x Combine like terms: -6 + -20 = -26 -26 + 2x = 46 + -6x Solving -26 + 2x = 46 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -26 + 2x + 6x = 46 + -6x + 6x Combine like terms: 2x + 6x = 8x -26 + 8x = 46 + -6x + 6x Combine like terms: -6x + 6x = 0 -26 + 8x = 46 + 0 -26 + 8x = 46 Add '26' to each side of the equation. -26 + 26 + 8x = 46 + 26 Combine like terms: -26 + 26 = 0 0 + 8x = 46 + 26 8x = 46 + 26 Combine like terms: 46 + 26 = 72 8x = 72 Divide each side by '8'. x = 9 Simplifying x = 9
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