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Simplifying 7x + 52 = 13x + -6 Reorder the terms: 52 + 7x = 13x + -6 Reorder the terms: 52 + 7x = -6 + 13x Solving 52 + 7x = -6 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 52 + 7x + -13x = -6 + 13x + -13x Combine like terms: 7x + -13x = -6x 52 + -6x = -6 + 13x + -13x Combine like terms: 13x + -13x = 0 52 + -6x = -6 + 0 52 + -6x = -6 Add '-52' to each side of the equation. 52 + -52 + -6x = -6 + -52 Combine like terms: 52 + -52 = 0 0 + -6x = -6 + -52 -6x = -6 + -52 Combine like terms: -6 + -52 = -58 -6x = -58 Divide each side by '-6'. x = 9.666666667 Simplifying x = 9.666666667
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