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Simplifying 46 = 6x + -2(x + -5) Reorder the terms: 46 = 6x + -2(-5 + x) 46 = 6x + (-5 * -2 + x * -2) 46 = 6x + (10 + -2x) Reorder the terms: 46 = 10 + 6x + -2x Combine like terms: 6x + -2x = 4x 46 = 10 + 4x Solving 46 = 10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 46 + -4x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 46 + -4x = 10 + 0 46 + -4x = 10 Add '-46' to each side of the equation. 46 + -46 + -4x = 10 + -46 Combine like terms: 46 + -46 = 0 0 + -4x = 10 + -46 -4x = 10 + -46 Combine like terms: 10 + -46 = -36 -4x = -36 Divide each side by '-4'. x = 9 Simplifying x = 9
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