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Simplifying 5x + 38 = 13x + -42 Reorder the terms: 38 + 5x = 13x + -42 Reorder the terms: 38 + 5x = -42 + 13x Solving 38 + 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. 38 + 5x + -13x = -42 + 13x + -13x Combine like terms: 5x + -13x = -8x 38 + -8x = -42 + 13x + -13x Combine like terms: 13x + -13x = 0 38 + -8x = -42 + 0 38 + -8x = -42 Add '-38' to each side of the equation. 38 + -38 + -8x = -42 + -38 Combine like terms: 38 + -38 = 0 0 + -8x = -42 + -38 -8x = -42 + -38 Combine like terms: -42 + -38 = -80 -8x = -80 Divide each side by '-8'. x = 10 Simplifying x = 10
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