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Simplifying 10x + 14(312 + -1x) = 13(312) 10x + (312 * 14 + -1x * 14) = 13(312) 10x + (4368 + -14x) = 13(312) Reorder the terms: 4368 + 10x + -14x = 13(312) Combine like terms: 10x + -14x = -4x 4368 + -4x = 13(312) Multiply 13 * 312 4368 + -4x = 4056 Solving 4368 + -4x = 4056 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4368' to each side of the equation. 4368 + -4368 + -4x = 4056 + -4368 Combine like terms: 4368 + -4368 = 0 0 + -4x = 4056 + -4368 -4x = 4056 + -4368 Combine like terms: 4056 + -4368 = -312 -4x = -312 Divide each side by '-4'. x = 78 Simplifying x = 78
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