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Simplifying 6x + 12 = -52 + -10x Reorder the terms: 12 + 6x = -52 + -10x Solving 12 + 6x = -52 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 12 + 6x + 10x = -52 + -10x + 10x Combine like terms: 6x + 10x = 16x 12 + 16x = -52 + -10x + 10x Combine like terms: -10x + 10x = 0 12 + 16x = -52 + 0 12 + 16x = -52 Add '-12' to each side of the equation. 12 + -12 + 16x = -52 + -12 Combine like terms: 12 + -12 = 0 0 + 16x = -52 + -12 16x = -52 + -12 Combine like terms: -52 + -12 = -64 16x = -64 Divide each side by '16'. x = -4 Simplifying x = -4
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