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Simplifying 7x + -84 = -12x + 163 Reorder the terms: -84 + 7x = -12x + 163 Reorder the terms: -84 + 7x = 163 + -12x Solving -84 + 7x = 163 + -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. -84 + 7x + 12x = 163 + -12x + 12x Combine like terms: 7x + 12x = 19x -84 + 19x = 163 + -12x + 12x Combine like terms: -12x + 12x = 0 -84 + 19x = 163 + 0 -84 + 19x = 163 Add '84' to each side of the equation. -84 + 84 + 19x = 163 + 84 Combine like terms: -84 + 84 = 0 0 + 19x = 163 + 84 19x = 163 + 84 Combine like terms: 163 + 84 = 247 19x = 247 Divide each side by '19'. x = 13 Simplifying x = 13
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