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Simplifying -4x + -33 = 4 + 3(1 + -8x) Reorder the terms: -33 + -4x = 4 + 3(1 + -8x) -33 + -4x = 4 + (1 * 3 + -8x * 3) -33 + -4x = 4 + (3 + -24x) Combine like terms: 4 + 3 = 7 -33 + -4x = 7 + -24x Solving -33 + -4x = 7 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -33 + -4x + 24x = 7 + -24x + 24x Combine like terms: -4x + 24x = 20x -33 + 20x = 7 + -24x + 24x Combine like terms: -24x + 24x = 0 -33 + 20x = 7 + 0 -33 + 20x = 7 Add '33' to each side of the equation. -33 + 33 + 20x = 7 + 33 Combine like terms: -33 + 33 = 0 0 + 20x = 7 + 33 20x = 7 + 33 Combine like terms: 7 + 33 = 40 20x = 40 Divide each side by '20'. x = 2 Simplifying x = 2
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