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Simplifying -1x + 51 = -3x + 65 Reorder the terms: 51 + -1x = -3x + 65 Reorder the terms: 51 + -1x = 65 + -3x Solving 51 + -1x = 65 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 51 + -1x + 3x = 65 + -3x + 3x Combine like terms: -1x + 3x = 2x 51 + 2x = 65 + -3x + 3x Combine like terms: -3x + 3x = 0 51 + 2x = 65 + 0 51 + 2x = 65 Add '-51' to each side of the equation. 51 + -51 + 2x = 65 + -51 Combine like terms: 51 + -51 = 0 0 + 2x = 65 + -51 2x = 65 + -51 Combine like terms: 65 + -51 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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