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Simplifying -42 = -5x + 24 + -1(5x + 11) Reorder the terms: -42 = -5x + 24 + -1(11 + 5x) -42 = -5x + 24 + (11 * -1 + 5x * -1) -42 = -5x + 24 + (-11 + -5x) Reorder the terms: -42 = 24 + -11 + -5x + -5x Combine like terms: 24 + -11 = 13 -42 = 13 + -5x + -5x Combine like terms: -5x + -5x = -10x -42 = 13 + -10x Solving -42 = 13 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -42 + 10x = 13 + -10x + 10x Combine like terms: -10x + 10x = 0 -42 + 10x = 13 + 0 -42 + 10x = 13 Add '42' to each side of the equation. -42 + 42 + 10x = 13 + 42 Combine like terms: -42 + 42 = 0 0 + 10x = 13 + 42 10x = 13 + 42 Combine like terms: 13 + 42 = 55 10x = 55 Divide each side by '10'. x = 5.5 Simplifying x = 5.5
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