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Simplifying -2x + 46 = 8x + -24 Reorder the terms: 46 + -2x = 8x + -24 Reorder the terms: 46 + -2x = -24 + 8x Solving 46 + -2x = -24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 46 + -2x + -8x = -24 + 8x + -8x Combine like terms: -2x + -8x = -10x 46 + -10x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 46 + -10x = -24 + 0 46 + -10x = -24 Add '-46' to each side of the equation. 46 + -46 + -10x = -24 + -46 Combine like terms: 46 + -46 = 0 0 + -10x = -24 + -46 -10x = -24 + -46 Combine like terms: -24 + -46 = -70 -10x = -70 Divide each side by '-10'. x = 7 Simplifying x = 7
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