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Simplifying 5(3 + -7X) = AX + B (3 * 5 + -7X * 5) = AX + B (15 + -35X) = AX + B Solving 15 + -35X = AX + B Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1AX' to each side of the equation. 15 + -1AX + -35X = AX + -1AX + B Combine like terms: AX + -1AX = 0 15 + -1AX + -35X = 0 + B 15 + -1AX + -35X = B Add '-15' to each side of the equation. 15 + -1AX + -15 + -35X = -15 + B Reorder the terms: 15 + -15 + -1AX + -35X = -15 + B Combine like terms: 15 + -15 = 0 0 + -1AX + -35X = -15 + B -1AX + -35X = -15 + B Reorder the terms: 15 + -1AX + -1B + -35X = -15 + B + 15 + -1B Reorder the terms: 15 + -1AX + -1B + -35X = -15 + 15 + B + -1B Combine like terms: -15 + 15 = 0 15 + -1AX + -1B + -35X = 0 + B + -1B 15 + -1AX + -1B + -35X = B + -1B Combine like terms: B + -1B = 0 15 + -1AX + -1B + -35X = 0 The solution to this equation could not be determined.
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