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Simplifying 3X + 1 = -43 + 7X Reorder the terms: 1 + 3X = -43 + 7X Solving 1 + 3X = -43 + 7X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-7X' to each side of the equation. 1 + 3X + -7X = -43 + 7X + -7X Combine like terms: 3X + -7X = -4X 1 + -4X = -43 + 7X + -7X Combine like terms: 7X + -7X = 0 1 + -4X = -43 + 0 1 + -4X = -43 Add '-1' to each side of the equation. 1 + -1 + -4X = -43 + -1 Combine like terms: 1 + -1 = 0 0 + -4X = -43 + -1 -4X = -43 + -1 Combine like terms: -43 + -1 = -44 -4X = -44 Divide each side by '-4'. X = 11 Simplifying X = 11
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