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Simplifying 6x + -4 = 13x + -52 Reorder the terms: -4 + 6x = 13x + -52 Reorder the terms: -4 + 6x = -52 + 13x Solving -4 + 6x = -52 + 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. -4 + 6x + -13x = -52 + 13x + -13x Combine like terms: 6x + -13x = -7x -4 + -7x = -52 + 13x + -13x Combine like terms: 13x + -13x = 0 -4 + -7x = -52 + 0 -4 + -7x = -52 Add '4' to each side of the equation. -4 + 4 + -7x = -52 + 4 Combine like terms: -4 + 4 = 0 0 + -7x = -52 + 4 -7x = -52 + 4 Combine like terms: -52 + 4 = -48 -7x = -48 Divide each side by '-7'. x = 6.857142857 Simplifying x = 6.857142857
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