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Simplifying -4(1 + 8x) + -2 = -33 + -5x (1 * -4 + 8x * -4) + -2 = -33 + -5x (-4 + -32x) + -2 = -33 + -5x Reorder the terms: -4 + -2 + -32x = -33 + -5x Combine like terms: -4 + -2 = -6 -6 + -32x = -33 + -5x Solving -6 + -32x = -33 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -6 + -32x + 5x = -33 + -5x + 5x Combine like terms: -32x + 5x = -27x -6 + -27x = -33 + -5x + 5x Combine like terms: -5x + 5x = 0 -6 + -27x = -33 + 0 -6 + -27x = -33 Add '6' to each side of the equation. -6 + 6 + -27x = -33 + 6 Combine like terms: -6 + 6 = 0 0 + -27x = -33 + 6 -27x = -33 + 6 Combine like terms: -33 + 6 = -27 -27x = -27 Divide each side by '-27'. x = 1 Simplifying x = 1
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