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Simplifying 3x + 7 + -4x + 5 = 47 Reorder the terms: 7 + 5 + 3x + -4x = 47 Combine like terms: 7 + 5 = 12 12 + 3x + -4x = 47 Combine like terms: 3x + -4x = -1x 12 + -1x = 47 Solving 12 + -1x = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 47 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 47 + -12 -1x = 47 + -12 Combine like terms: 47 + -12 = 35 -1x = 35 Divide each side by '-1'. x = -35 Simplifying x = -35
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