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Simplifying 7x + -1 = 13x + -43 Reorder the terms: -1 + 7x = 13x + -43 Reorder the terms: -1 + 7x = -43 + 13x Solving -1 + 7x = -43 + 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. -1 + 7x + -13x = -43 + 13x + -13x Combine like terms: 7x + -13x = -6x -1 + -6x = -43 + 13x + -13x Combine like terms: 13x + -13x = 0 -1 + -6x = -43 + 0 -1 + -6x = -43 Add '1' to each side of the equation. -1 + 1 + -6x = -43 + 1 Combine like terms: -1 + 1 = 0 0 + -6x = -43 + 1 -6x = -43 + 1 Combine like terms: -43 + 1 = -42 -6x = -42 Divide each side by '-6'. x = 7 Simplifying x = 7
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