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Simplifying -6x + 13 = 7x Reorder the terms: 13 + -6x = 7x Solving 13 + -6x = 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. 13 + -6x + -7x = 7x + -7x Combine like terms: -6x + -7x = -13x 13 + -13x = 7x + -7x Combine like terms: 7x + -7x = 0 13 + -13x = 0 Add '-13' to each side of the equation. 13 + -13 + -13x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -13x = 0 + -13 -13x = 0 + -13 Combine like terms: 0 + -13 = -13 -13x = -13 Divide each side by '-13'. x = 1 Simplifying x = 1
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