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Simplifying -7x + 7 = 6x + 46 Reorder the terms: 7 + -7x = 6x + 46 Reorder the terms: 7 + -7x = 46 + 6x Solving 7 + -7x = 46 + 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. 7 + -7x + -6x = 46 + 6x + -6x Combine like terms: -7x + -6x = -13x 7 + -13x = 46 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + -13x = 46 + 0 7 + -13x = 46 Add '-7' to each side of the equation. 7 + -7 + -13x = 46 + -7 Combine like terms: 7 + -7 = 0 0 + -13x = 46 + -7 -13x = 46 + -7 Combine like terms: 46 + -7 = 39 -13x = 39 Divide each side by '-13'. x = -3 Simplifying x = -3
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