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Simplifying 5x + 39 = 13x + -42 Reorder the terms: 39 + 5x = 13x + -42 Reorder the terms: 39 + 5x = -42 + 13x Solving 39 + 5x = -42 + 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. 39 + 5x + -13x = -42 + 13x + -13x Combine like terms: 5x + -13x = -8x 39 + -8x = -42 + 13x + -13x Combine like terms: 13x + -13x = 0 39 + -8x = -42 + 0 39 + -8x = -42 Add '-39' to each side of the equation. 39 + -39 + -8x = -42 + -39 Combine like terms: 39 + -39 = 0 0 + -8x = -42 + -39 -8x = -42 + -39 Combine like terms: -42 + -39 = -81 -8x = -81 Divide each side by '-8'. x = 10.125 Simplifying x = 10.125
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