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Simplifying -1(1 + 6x) = 9 + 8(4x + -6) (1 * -1 + 6x * -1) = 9 + 8(4x + -6) (-1 + -6x) = 9 + 8(4x + -6) Reorder the terms: -1 + -6x = 9 + 8(-6 + 4x) -1 + -6x = 9 + (-6 * 8 + 4x * 8) -1 + -6x = 9 + (-48 + 32x) Combine like terms: 9 + -48 = -39 -1 + -6x = -39 + 32x Solving -1 + -6x = -39 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -1 + -6x + -32x = -39 + 32x + -32x Combine like terms: -6x + -32x = -38x -1 + -38x = -39 + 32x + -32x Combine like terms: 32x + -32x = 0 -1 + -38x = -39 + 0 -1 + -38x = -39 Add '1' to each side of the equation. -1 + 1 + -38x = -39 + 1 Combine like terms: -1 + 1 = 0 0 + -38x = -39 + 1 -38x = -39 + 1 Combine like terms: -39 + 1 = -38 -38x = -38 Divide each side by '-38'. x = 1 Simplifying x = 1
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