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Simplifying -1x + 2x + -7 = 13x + 5 Reorder the terms: -7 + -1x + 2x = 13x + 5 Combine like terms: -1x + 2x = 1x -7 + 1x = 13x + 5 Reorder the terms: -7 + 1x = 5 + 13x Solving -7 + 1x = 5 + 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. -7 + 1x + -13x = 5 + 13x + -13x Combine like terms: 1x + -13x = -12x -7 + -12x = 5 + 13x + -13x Combine like terms: 13x + -13x = 0 -7 + -12x = 5 + 0 -7 + -12x = 5 Add '7' to each side of the equation. -7 + 7 + -12x = 5 + 7 Combine like terms: -7 + 7 = 0 0 + -12x = 5 + 7 -12x = 5 + 7 Combine like terms: 5 + 7 = 12 -12x = 12 Divide each side by '-12'. x = -1 Simplifying x = -1
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