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Simplifying 5x + -7 = 13x + 17 Reorder the terms: -7 + 5x = 13x + 17 Reorder the terms: -7 + 5x = 17 + 13x Solving -7 + 5x = 17 + 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 + 5x + -13x = 17 + 13x + -13x Combine like terms: 5x + -13x = -8x -7 + -8x = 17 + 13x + -13x Combine like terms: 13x + -13x = 0 -7 + -8x = 17 + 0 -7 + -8x = 17 Add '7' to each side of the equation. -7 + 7 + -8x = 17 + 7 Combine like terms: -7 + 7 = 0 0 + -8x = 17 + 7 -8x = 17 + 7 Combine like terms: 17 + 7 = 24 -8x = 24 Divide each side by '-8'. x = -3 Simplifying x = -3
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