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Simplifying -3x + 45 = -2x + -46 Reorder the terms: 45 + -3x = -2x + -46 Reorder the terms: 45 + -3x = -46 + -2x Solving 45 + -3x = -46 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 45 + -3x + 2x = -46 + -2x + 2x Combine like terms: -3x + 2x = -1x 45 + -1x = -46 + -2x + 2x Combine like terms: -2x + 2x = 0 45 + -1x = -46 + 0 45 + -1x = -46 Add '-45' to each side of the equation. 45 + -45 + -1x = -46 + -45 Combine like terms: 45 + -45 = 0 0 + -1x = -46 + -45 -1x = -46 + -45 Combine like terms: -46 + -45 = -91 -1x = -91 Divide each side by '-1'. x = 91 Simplifying x = 91
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