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Simplifying -6(x + -6) = 4x + 46 Reorder the terms: -6(-6 + x) = 4x + 46 (-6 * -6 + x * -6) = 4x + 46 (36 + -6x) = 4x + 46 Reorder the terms: 36 + -6x = 46 + 4x Solving 36 + -6x = 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. 36 + -6x + -4x = 46 + 4x + -4x Combine like terms: -6x + -4x = -10x 36 + -10x = 46 + 4x + -4x Combine like terms: 4x + -4x = 0 36 + -10x = 46 + 0 36 + -10x = 46 Add '-36' to each side of the equation. 36 + -36 + -10x = 46 + -36 Combine like terms: 36 + -36 = 0 0 + -10x = 46 + -36 -10x = 46 + -36 Combine like terms: 46 + -36 = 10 -10x = 10 Divide each side by '-10'. x = -1 Simplifying x = -1
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