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