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Simplifying -7x + 1 = 6x + -51 Reorder the terms: 1 + -7x = 6x + -51 Reorder the terms: 1 + -7x = -51 + 6x Solving 1 + -7x = -51 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 1 + -7x + -6x = -51 + 6x + -6x Combine like terms: -7x + -6x = -13x 1 + -13x = -51 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + -13x = -51 + 0 1 + -13x = -51 Add '-1' to each side of the equation. 1 + -1 + -13x = -51 + -1 Combine like terms: 1 + -1 = 0 0 + -13x = -51 + -1 -13x = -51 + -1 Combine like terms: -51 + -1 = -52 -13x = -52 Divide each side by '-13'. x = 4 Simplifying x = 4
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