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Simplifying 9x + -42 = 12x + -84 Reorder the terms: -42 + 9x = 12x + -84 Reorder the terms: -42 + 9x = -84 + 12x Solving -42 + 9x = -84 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -42 + 9x + -12x = -84 + 12x + -12x Combine like terms: 9x + -12x = -3x -42 + -3x = -84 + 12x + -12x Combine like terms: 12x + -12x = 0 -42 + -3x = -84 + 0 -42 + -3x = -84 Add '42' to each side of the equation. -42 + 42 + -3x = -84 + 42 Combine like terms: -42 + 42 = 0 0 + -3x = -84 + 42 -3x = -84 + 42 Combine like terms: -84 + 42 = -42 -3x = -42 Divide each side by '-3'. x = 14 Simplifying x = 14
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