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Simplifying -8x + 46 = -2(x + -5) Reorder the terms: 46 + -8x = -2(x + -5) Reorder the terms: 46 + -8x = -2(-5 + x) 46 + -8x = (-5 * -2 + x * -2) 46 + -8x = (10 + -2x) Solving 46 + -8x = 10 + -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 + -8x + 2x = 10 + -2x + 2x Combine like terms: -8x + 2x = -6x 46 + -6x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 46 + -6x = 10 + 0 46 + -6x = 10 Add '-46' to each side of the equation. 46 + -46 + -6x = 10 + -46 Combine like terms: 46 + -46 = 0 0 + -6x = 10 + -46 -6x = 10 + -46 Combine like terms: 10 + -46 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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