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Simplifying -4(5x + -4) + 2x = 38 + -7x Reorder the terms: -4(-4 + 5x) + 2x = 38 + -7x (-4 * -4 + 5x * -4) + 2x = 38 + -7x (16 + -20x) + 2x = 38 + -7x Combine like terms: -20x + 2x = -18x 16 + -18x = 38 + -7x Solving 16 + -18x = 38 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 16 + -18x + 7x = 38 + -7x + 7x Combine like terms: -18x + 7x = -11x 16 + -11x = 38 + -7x + 7x Combine like terms: -7x + 7x = 0 16 + -11x = 38 + 0 16 + -11x = 38 Add '-16' to each side of the equation. 16 + -16 + -11x = 38 + -16 Combine like terms: 16 + -16 = 0 0 + -11x = 38 + -16 -11x = 38 + -16 Combine like terms: 38 + -16 = 22 -11x = 22 Divide each side by '-11'. x = -2 Simplifying x = -2
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