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Simplifying 10x + -42 + 17x = 13x + 14 Reorder the terms: -42 + 10x + 17x = 13x + 14 Combine like terms: 10x + 17x = 27x -42 + 27x = 13x + 14 Reorder the terms: -42 + 27x = 14 + 13x Solving -42 + 27x = 14 + 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. -42 + 27x + -13x = 14 + 13x + -13x Combine like terms: 27x + -13x = 14x -42 + 14x = 14 + 13x + -13x Combine like terms: 13x + -13x = 0 -42 + 14x = 14 + 0 -42 + 14x = 14 Add '42' to each side of the equation. -42 + 42 + 14x = 14 + 42 Combine like terms: -42 + 42 = 0 0 + 14x = 14 + 42 14x = 14 + 42 Combine like terms: 14 + 42 = 56 14x = 56 Divide each side by '14'. x = 4 Simplifying x = 4
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