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Simplifying 5(8 + -7x) = -38 + 4x (8 * 5 + -7x * 5) = -38 + 4x (40 + -35x) = -38 + 4x Solving 40 + -35x = -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. 40 + -35x + -4x = -38 + 4x + -4x Combine like terms: -35x + -4x = -39x 40 + -39x = -38 + 4x + -4x Combine like terms: 4x + -4x = 0 40 + -39x = -38 + 0 40 + -39x = -38 Add '-40' to each side of the equation. 40 + -40 + -39x = -38 + -40 Combine like terms: 40 + -40 = 0 0 + -39x = -38 + -40 -39x = -38 + -40 Combine like terms: -38 + -40 = -78 -39x = -78 Divide each side by '-39'. x = 2 Simplifying x = 2
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