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Simplifying 46 = -5x + -3(-1x + -8) Reorder the terms: 46 = -5x + -3(-8 + -1x) 46 = -5x + (-8 * -3 + -1x * -3) 46 = -5x + (24 + 3x) Reorder the terms: 46 = 24 + -5x + 3x Combine like terms: -5x + 3x = -2x 46 = 24 + -2x Solving 46 = 24 + -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. 46 + 2x = 24 + -2x + 2x Combine like terms: -2x + 2x = 0 46 + 2x = 24 + 0 46 + 2x = 24 Add '-46' to each side of the equation. 46 + -46 + 2x = 24 + -46 Combine like terms: 46 + -46 = 0 0 + 2x = 24 + -46 2x = 24 + -46 Combine like terms: 24 + -46 = -22 2x = -22 Divide each side by '2'. x = -11 Simplifying x = -11
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