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Simplifying 6x + -3 = 13x + 52 Reorder the terms: -3 + 6x = 13x + 52 Reorder the terms: -3 + 6x = 52 + 13x Solving -3 + 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. -3 + 6x + -13x = 52 + 13x + -13x Combine like terms: 6x + -13x = -7x -3 + -7x = 52 + 13x + -13x Combine like terms: 13x + -13x = 0 -3 + -7x = 52 + 0 -3 + -7x = 52 Add '3' to each side of the equation. -3 + 3 + -7x = 52 + 3 Combine like terms: -3 + 3 = 0 0 + -7x = 52 + 3 -7x = 52 + 3 Combine like terms: 52 + 3 = 55 -7x = 55 Divide each side by '-7'. x = -7.857142857 Simplifying x = -7.857142857
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