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Simplifying -1(1 + 6x) = 9 + 8(4x + -8) (1 * -1 + 6x * -1) = 9 + 8(4x + -8) (-1 + -6x) = 9 + 8(4x + -8) Reorder the terms: -1 + -6x = 9 + 8(-8 + 4x) -1 + -6x = 9 + (-8 * 8 + 4x * 8) -1 + -6x = 9 + (-64 + 32x) Combine like terms: 9 + -64 = -55 -1 + -6x = -55 + 32x Solving -1 + -6x = -55 + 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 = -55 + 32x + -32x Combine like terms: -6x + -32x = -38x -1 + -38x = -55 + 32x + -32x Combine like terms: 32x + -32x = 0 -1 + -38x = -55 + 0 -1 + -38x = -55 Add '1' to each side of the equation. -1 + 1 + -38x = -55 + 1 Combine like terms: -1 + 1 = 0 0 + -38x = -55 + 1 -38x = -55 + 1 Combine like terms: -55 + 1 = -54 -38x = -54 Divide each side by '-38'. x = 1.421052632 Simplifying x = 1.421052632
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