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Simplifying -2(x + 1) = -38 + 7x Reorder the terms: -2(1 + x) = -38 + 7x (1 * -2 + x * -2) = -38 + 7x (-2 + -2x) = -38 + 7x Solving -2 + -2x = -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. -2 + -2x + -7x = -38 + 7x + -7x Combine like terms: -2x + -7x = -9x -2 + -9x = -38 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -9x = -38 + 0 -2 + -9x = -38 Add '2' to each side of the equation. -2 + 2 + -9x = -38 + 2 Combine like terms: -2 + 2 = 0 0 + -9x = -38 + 2 -9x = -38 + 2 Combine like terms: -38 + 2 = -36 -9x = -36 Divide each side by '-9'. x = 4 Simplifying x = 4
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