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Simplifying -2x + 3 = -46 + 5x Reorder the terms: 3 + -2x = -46 + 5x Solving 3 + -2x = -46 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 3 + -2x + -5x = -46 + 5x + -5x Combine like terms: -2x + -5x = -7x 3 + -7x = -46 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + -7x = -46 + 0 3 + -7x = -46 Add '-3' to each side of the equation. 3 + -3 + -7x = -46 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = -46 + -3 -7x = -46 + -3 Combine like terms: -46 + -3 = -49 -7x = -49 Divide each side by '-7'. x = 7 Simplifying x = 7
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