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Simplifying -8x + 5(2 + -2x) = 38 + -4x -8x + (2 * 5 + -2x * 5) = 38 + -4x -8x + (10 + -10x) = 38 + -4x Reorder the terms: 10 + -8x + -10x = 38 + -4x Combine like terms: -8x + -10x = -18x 10 + -18x = 38 + -4x Solving 10 + -18x = 38 + -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 + -18x + 4x = 38 + -4x + 4x Combine like terms: -18x + 4x = -14x 10 + -14x = 38 + -4x + 4x Combine like terms: -4x + 4x = 0 10 + -14x = 38 + 0 10 + -14x = 38 Add '-10' to each side of the equation. 10 + -10 + -14x = 38 + -10 Combine like terms: 10 + -10 = 0 0 + -14x = 38 + -10 -14x = 38 + -10 Combine like terms: 38 + -10 = 28 -14x = 28 Divide each side by '-14'. x = -2 Simplifying x = -2
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