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Simplifying 2x + 5(-2x + -2) = -14 + -4x Reorder the terms: 2x + 5(-2 + -2x) = -14 + -4x 2x + (-2 * 5 + -2x * 5) = -14 + -4x 2x + (-10 + -10x) = -14 + -4x Reorder the terms: -10 + 2x + -10x = -14 + -4x Combine like terms: 2x + -10x = -8x -10 + -8x = -14 + -4x Solving -10 + -8x = -14 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -10 + -8x + 4x = -14 + -4x + 4x Combine like terms: -8x + 4x = -4x -10 + -4x = -14 + -4x + 4x Combine like terms: -4x + 4x = 0 -10 + -4x = -14 + 0 -10 + -4x = -14 Add '10' to each side of the equation. -10 + 10 + -4x = -14 + 10 Combine like terms: -10 + 10 = 0 0 + -4x = -14 + 10 -4x = -14 + 10 Combine like terms: -14 + 10 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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