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Simplifying 46 = -2x + -7(-1x + -3) Reorder the terms: 46 = -2x + -7(-3 + -1x) 46 = -2x + (-3 * -7 + -1x * -7) 46 = -2x + (21 + 7x) Reorder the terms: 46 = 21 + -2x + 7x Combine like terms: -2x + 7x = 5x 46 = 21 + 5x Solving 46 = 21 + 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. 46 + -5x = 21 + 5x + -5x Combine like terms: 5x + -5x = 0 46 + -5x = 21 + 0 46 + -5x = 21 Add '-46' to each side of the equation. 46 + -46 + -5x = 21 + -46 Combine like terms: 46 + -46 = 0 0 + -5x = 21 + -46 -5x = 21 + -46 Combine like terms: 21 + -46 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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