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Simplifying 2(x + 6) + -7(x + 5) = -84 Reorder the terms: 2(6 + x) + -7(x + 5) = -84 (6 * 2 + x * 2) + -7(x + 5) = -84 (12 + 2x) + -7(x + 5) = -84 Reorder the terms: 12 + 2x + -7(5 + x) = -84 12 + 2x + (5 * -7 + x * -7) = -84 12 + 2x + (-35 + -7x) = -84 Reorder the terms: 12 + -35 + 2x + -7x = -84 Combine like terms: 12 + -35 = -23 -23 + 2x + -7x = -84 Combine like terms: 2x + -7x = -5x -23 + -5x = -84 Solving -23 + -5x = -84 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -5x = -84 + 23 Combine like terms: -23 + 23 = 0 0 + -5x = -84 + 23 -5x = -84 + 23 Combine like terms: -84 + 23 = -61 -5x = -61 Divide each side by '-5'. x = 12.2 Simplifying x = 12.2
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