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Simplifying -6x + -5(1 + 8x) = 33 + -8x -6x + (1 * -5 + 8x * -5) = 33 + -8x -6x + (-5 + -40x) = 33 + -8x Reorder the terms: -5 + -6x + -40x = 33 + -8x Combine like terms: -6x + -40x = -46x -5 + -46x = 33 + -8x Solving -5 + -46x = 33 + -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. -5 + -46x + 8x = 33 + -8x + 8x Combine like terms: -46x + 8x = -38x -5 + -38x = 33 + -8x + 8x Combine like terms: -8x + 8x = 0 -5 + -38x = 33 + 0 -5 + -38x = 33 Add '5' to each side of the equation. -5 + 5 + -38x = 33 + 5 Combine like terms: -5 + 5 = 0 0 + -38x = 33 + 5 -38x = 33 + 5 Combine like terms: 33 + 5 = 38 -38x = 38 Divide each side by '-38'. x = -1 Simplifying x = -1
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