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Simplifying 46 + -10x = 12(8x + -5) Reorder the terms: 46 + -10x = 12(-5 + 8x) 46 + -10x = (-5 * 12 + 8x * 12) 46 + -10x = (-60 + 96x) Solving 46 + -10x = -60 + 96x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-96x' to each side of the equation. 46 + -10x + -96x = -60 + 96x + -96x Combine like terms: -10x + -96x = -106x 46 + -106x = -60 + 96x + -96x Combine like terms: 96x + -96x = 0 46 + -106x = -60 + 0 46 + -106x = -60 Add '-46' to each side of the equation. 46 + -46 + -106x = -60 + -46 Combine like terms: 46 + -46 = 0 0 + -106x = -60 + -46 -106x = -60 + -46 Combine like terms: -60 + -46 = -106 -106x = -106 Divide each side by '-106'. x = 1 Simplifying x = 1
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