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Simplifying -42 + 9x = 10(2x + 5) + -4 Reorder the terms: -42 + 9x = 10(5 + 2x) + -4 -42 + 9x = (5 * 10 + 2x * 10) + -4 -42 + 9x = (50 + 20x) + -4 Reorder the terms: -42 + 9x = 50 + -4 + 20x Combine like terms: 50 + -4 = 46 -42 + 9x = 46 + 20x Solving -42 + 9x = 46 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -42 + 9x + -20x = 46 + 20x + -20x Combine like terms: 9x + -20x = -11x -42 + -11x = 46 + 20x + -20x Combine like terms: 20x + -20x = 0 -42 + -11x = 46 + 0 -42 + -11x = 46 Add '42' to each side of the equation. -42 + 42 + -11x = 46 + 42 Combine like terms: -42 + 42 = 0 0 + -11x = 46 + 42 -11x = 46 + 42 Combine like terms: 46 + 42 = 88 -11x = 88 Divide each side by '-11'. x = -8 Simplifying x = -8
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