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Simplifying 4x + 71 = 7x + 20 Reorder the terms: 71 + 4x = 7x + 20 Reorder the terms: 71 + 4x = 20 + 7x Solving 71 + 4x = 20 + 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. 71 + 4x + -7x = 20 + 7x + -7x Combine like terms: 4x + -7x = -3x 71 + -3x = 20 + 7x + -7x Combine like terms: 7x + -7x = 0 71 + -3x = 20 + 0 71 + -3x = 20 Add '-71' to each side of the equation. 71 + -71 + -3x = 20 + -71 Combine like terms: 71 + -71 = 0 0 + -3x = 20 + -71 -3x = 20 + -71 Combine like terms: 20 + -71 = -51 -3x = -51 Divide each side by '-3'. x = 17 Simplifying x = 17
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