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Simplifying 3x + 12 = -52 + -10x Reorder the terms: 12 + 3x = -52 + -10x Solving 12 + 3x = -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 + 3x + 10x = -52 + -10x + 10x Combine like terms: 3x + 10x = 13x 12 + 13x = -52 + -10x + 10x Combine like terms: -10x + 10x = 0 12 + 13x = -52 + 0 12 + 13x = -52 Add '-12' to each side of the equation. 12 + -12 + 13x = -52 + -12 Combine like terms: 12 + -12 = 0 0 + 13x = -52 + -12 13x = -52 + -12 Combine like terms: -52 + -12 = -64 13x = -64 Divide each side by '13'. x = -4.923076923 Simplifying x = -4.923076923
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