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Simplifying -43 + 13x = 7x + 53 Reorder the terms: -43 + 13x = 53 + 7x Solving -43 + 13x = 53 + 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. -43 + 13x + -7x = 53 + 7x + -7x Combine like terms: 13x + -7x = 6x -43 + 6x = 53 + 7x + -7x Combine like terms: 7x + -7x = 0 -43 + 6x = 53 + 0 -43 + 6x = 53 Add '43' to each side of the equation. -43 + 43 + 6x = 53 + 43 Combine like terms: -43 + 43 = 0 0 + 6x = 53 + 43 6x = 53 + 43 Combine like terms: 53 + 43 = 96 6x = 96 Divide each side by '6'. x = 16 Simplifying x = 16
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