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Simplifying 2(7 + -5x) = 38 + -4x (7 * 2 + -5x * 2) = 38 + -4x (14 + -10x) = 38 + -4x Solving 14 + -10x = 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. 14 + -10x + 4x = 38 + -4x + 4x Combine like terms: -10x + 4x = -6x 14 + -6x = 38 + -4x + 4x Combine like terms: -4x + 4x = 0 14 + -6x = 38 + 0 14 + -6x = 38 Add '-14' to each side of the equation. 14 + -14 + -6x = 38 + -14 Combine like terms: 14 + -14 = 0 0 + -6x = 38 + -14 -6x = 38 + -14 Combine like terms: 38 + -14 = 24 -6x = 24 Divide each side by '-6'. x = -4 Simplifying x = -4
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