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Simplifying 10 + -14 + 6x + -5(x + 1) = -22 + 10 Reorder the terms: 10 + -14 + 6x + -5(1 + x) = -22 + 10 10 + -14 + 6x + (1 * -5 + x * -5) = -22 + 10 10 + -14 + 6x + (-5 + -5x) = -22 + 10 Reorder the terms: 10 + -14 + -5 + 6x + -5x = -22 + 10 Combine like terms: 10 + -14 = -4 -4 + -5 + 6x + -5x = -22 + 10 Combine like terms: -4 + -5 = -9 -9 + 6x + -5x = -22 + 10 Combine like terms: 6x + -5x = 1x -9 + 1x = -22 + 10 Combine like terms: -22 + 10 = -12 -9 + 1x = -12 Solving -9 + 1x = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 1x = -12 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = -12 + 9 1x = -12 + 9 Combine like terms: -12 + 9 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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