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Simplifying 5x + -1 + 7x = 13x + -7 Reorder the terms: -1 + 5x + 7x = 13x + -7 Combine like terms: 5x + 7x = 12x -1 + 12x = 13x + -7 Reorder the terms: -1 + 12x = -7 + 13x Solving -1 + 12x = -7 + 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 + 12x + -13x = -7 + 13x + -13x Combine like terms: 12x + -13x = -1x -1 + -1x = -7 + 13x + -13x Combine like terms: 13x + -13x = 0 -1 + -1x = -7 + 0 -1 + -1x = -7 Add '1' to each side of the equation. -1 + 1 + -1x = -7 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = -7 + 1 -1x = -7 + 1 Combine like terms: -7 + 1 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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