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Simplifying 3x + 7 = 7x + 47 Reorder the terms: 7 + 3x = 7x + 47 Reorder the terms: 7 + 3x = 47 + 7x Solving 7 + 3x = 47 + 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. 7 + 3x + -7x = 47 + 7x + -7x Combine like terms: 3x + -7x = -4x 7 + -4x = 47 + 7x + -7x Combine like terms: 7x + -7x = 0 7 + -4x = 47 + 0 7 + -4x = 47 Add '-7' to each side of the equation. 7 + -7 + -4x = 47 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 47 + -7 -4x = 47 + -7 Combine like terms: 47 + -7 = 40 -4x = 40 Divide each side by '-4'. x = -10 Simplifying x = -10
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