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Simplifying -33 + -3x = -6 + -2(1 + 4x) -33 + -3x = -6 + (1 * -2 + 4x * -2) -33 + -3x = -6 + (-2 + -8x) Combine like terms: -6 + -2 = -8 -33 + -3x = -8 + -8x Solving -33 + -3x = -8 + -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. -33 + -3x + 8x = -8 + -8x + 8x Combine like terms: -3x + 8x = 5x -33 + 5x = -8 + -8x + 8x Combine like terms: -8x + 8x = 0 -33 + 5x = -8 + 0 -33 + 5x = -8 Add '33' to each side of the equation. -33 + 33 + 5x = -8 + 33 Combine like terms: -33 + 33 = 0 0 + 5x = -8 + 33 5x = -8 + 33 Combine like terms: -8 + 33 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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