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Simplifying 5x + -23 = 13x + -289 Reorder the terms: -23 + 5x = 13x + -289 Reorder the terms: -23 + 5x = -289 + 13x Solving -23 + 5x = -289 + 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. -23 + 5x + -13x = -289 + 13x + -13x Combine like terms: 5x + -13x = -8x -23 + -8x = -289 + 13x + -13x Combine like terms: 13x + -13x = 0 -23 + -8x = -289 + 0 -23 + -8x = -289 Add '23' to each side of the equation. -23 + 23 + -8x = -289 + 23 Combine like terms: -23 + 23 = 0 0 + -8x = -289 + 23 -8x = -289 + 23 Combine like terms: -289 + 23 = -266 -8x = -266 Divide each side by '-8'. x = 33.25 Simplifying x = 33.25
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