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Simplifying 3x + 71 = 7x + -13 Reorder the terms: 71 + 3x = 7x + -13 Reorder the terms: 71 + 3x = -13 + 7x Solving 71 + 3x = -13 + 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 + 3x + -7x = -13 + 7x + -7x Combine like terms: 3x + -7x = -4x 71 + -4x = -13 + 7x + -7x Combine like terms: 7x + -7x = 0 71 + -4x = -13 + 0 71 + -4x = -13 Add '-71' to each side of the equation. 71 + -71 + -4x = -13 + -71 Combine like terms: 71 + -71 = 0 0 + -4x = -13 + -71 -4x = -13 + -71 Combine like terms: -13 + -71 = -84 -4x = -84 Divide each side by '-4'. x = 21 Simplifying x = 21
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