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Simplifying -2(x + -5) = 4x + 46 Reorder the terms: -2(-5 + x) = 4x + 46 (-5 * -2 + x * -2) = 4x + 46 (10 + -2x) = 4x + 46 Reorder the terms: 10 + -2x = 46 + 4x Solving 10 + -2x = 46 + 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. 10 + -2x + -4x = 46 + 4x + -4x Combine like terms: -2x + -4x = -6x 10 + -6x = 46 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + -6x = 46 + 0 10 + -6x = 46 Add '-10' to each side of the equation. 10 + -10 + -6x = 46 + -10 Combine like terms: 10 + -10 = 0 0 + -6x = 46 + -10 -6x = 46 + -10 Combine like terms: 46 + -10 = 36 -6x = 36 Divide each side by '-6'. x = -6 Simplifying x = -6
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