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Simplifying -2(1 + 8x) = -38 + -7x (1 * -2 + 8x * -2) = -38 + -7x (-2 + -16x) = -38 + -7x Solving -2 + -16x = -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 + -16x + 7x = -38 + -7x + 7x Combine like terms: -16x + 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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