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Simplifying 6x + 13 = -52 + -7x Reorder the terms: 13 + 6x = -52 + -7x Solving 13 + 6x = -52 + -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 = -52 + -7x + 7x Combine like terms: 6x + 7x = 13x 13 + 13x = -52 + -7x + 7x Combine like terms: -7x + 7x = 0 13 + 13x = -52 + 0 13 + 13x = -52 Add '-13' to each side of the equation. 13 + -13 + 13x = -52 + -13 Combine like terms: 13 + -13 = 0 0 + 13x = -52 + -13 13x = -52 + -13 Combine like terms: -52 + -13 = -65 13x = -65 Divide each side by '13'. x = -5 Simplifying x = -5
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