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Simplifying -6(1 + 6x) + -4x = -38 + -8x (1 * -6 + 6x * -6) + -4x = -38 + -8x (-6 + -36x) + -4x = -38 + -8x Combine like terms: -36x + -4x = -40x -6 + -40x = -38 + -8x Solving -6 + -40x = -38 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -6 + -40x + 8x = -38 + -8x + 8x Combine like terms: -40x + 8x = -32x -6 + -32x = -38 + -8x + 8x Combine like terms: -8x + 8x = 0 -6 + -32x = -38 + 0 -6 + -32x = -38 Add '6' to each side of the equation. -6 + 6 + -32x = -38 + 6 Combine like terms: -6 + 6 = 0 0 + -32x = -38 + 6 -32x = -38 + 6 Combine like terms: -38 + 6 = -32 -32x = -32 Divide each side by '-32'. x = 1 Simplifying x = 1
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