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Simplifying -1x + -46 = 2(2x + -3) Reorder the terms: -46 + -1x = 2(2x + -3) Reorder the terms: -46 + -1x = 2(-3 + 2x) -46 + -1x = (-3 * 2 + 2x * 2) -46 + -1x = (-6 + 4x) Solving -46 + -1x = -6 + 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. -46 + -1x + -4x = -6 + 4x + -4x Combine like terms: -1x + -4x = -5x -46 + -5x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 -46 + -5x = -6 + 0 -46 + -5x = -6 Add '46' to each side of the equation. -46 + 46 + -5x = -6 + 46 Combine like terms: -46 + 46 = 0 0 + -5x = -6 + 46 -5x = -6 + 46 Combine like terms: -6 + 46 = 40 -5x = 40 Divide each side by '-5'. x = -8 Simplifying x = -8
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