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Simplifying -14 + -2(x + 4) = 5 + -1(x + 2) Reorder the terms: -14 + -2(4 + x) = 5 + -1(x + 2) -14 + (4 * -2 + x * -2) = 5 + -1(x + 2) -14 + (-8 + -2x) = 5 + -1(x + 2) Combine like terms: -14 + -8 = -22 -22 + -2x = 5 + -1(x + 2) Reorder the terms: -22 + -2x = 5 + -1(2 + x) -22 + -2x = 5 + (2 * -1 + x * -1) -22 + -2x = 5 + (-2 + -1x) Combine like terms: 5 + -2 = 3 -22 + -2x = 3 + -1x Solving -22 + -2x = 3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -22 + -2x + x = 3 + -1x + x Combine like terms: -2x + x = -1x -22 + -1x = 3 + -1x + x Combine like terms: -1x + x = 0 -22 + -1x = 3 + 0 -22 + -1x = 3 Add '22' to each side of the equation. -22 + 22 + -1x = 3 + 22 Combine like terms: -22 + 22 = 0 0 + -1x = 3 + 22 -1x = 3 + 22 Combine like terms: 3 + 22 = 25 -1x = 25 Divide each side by '-1'. x = -25 Simplifying x = -25
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