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Simplifying -9(x + -5) + 9 = 3x + 42 Reorder the terms: -9(-5 + x) + 9 = 3x + 42 (-5 * -9 + x * -9) + 9 = 3x + 42 (45 + -9x) + 9 = 3x + 42 Reorder the terms: 45 + 9 + -9x = 3x + 42 Combine like terms: 45 + 9 = 54 54 + -9x = 3x + 42 Reorder the terms: 54 + -9x = 42 + 3x Solving 54 + -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. 54 + -9x + -3x = 42 + 3x + -3x Combine like terms: -9x + -3x = -12x 54 + -12x = 42 + 3x + -3x Combine like terms: 3x + -3x = 0 54 + -12x = 42 + 0 54 + -12x = 42 Add '-54' to each side of the equation. 54 + -54 + -12x = 42 + -54 Combine like terms: 54 + -54 = 0 0 + -12x = 42 + -54 -12x = 42 + -54 Combine like terms: 42 + -54 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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