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Simplifying 9(x + -8) = 3x + -42 Reorder the terms: 9(-8 + x) = 3x + -42 (-8 * 9 + x * 9) = 3x + -42 (-72 + 9x) = 3x + -42 Reorder the terms: -72 + 9x = -42 + 3x Solving -72 + 9x = -42 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -72 + 9x + -3x = -42 + 3x + -3x Combine like terms: 9x + -3x = 6x -72 + 6x = -42 + 3x + -3x Combine like terms: 3x + -3x = 0 -72 + 6x = -42 + 0 -72 + 6x = -42 Add '72' to each side of the equation. -72 + 72 + 6x = -42 + 72 Combine like terms: -72 + 72 = 0 0 + 6x = -42 + 72 6x = -42 + 72 Combine like terms: -42 + 72 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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