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Simplifying 2(2x + 1) = -3x + -33 Reorder the terms: 2(1 + 2x) = -3x + -33 (1 * 2 + 2x * 2) = -3x + -33 (2 + 4x) = -3x + -33 Reorder the terms: 2 + 4x = -33 + -3x Solving 2 + 4x = -33 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 2 + 4x + 3x = -33 + -3x + 3x Combine like terms: 4x + 3x = 7x 2 + 7x = -33 + -3x + 3x Combine like terms: -3x + 3x = 0 2 + 7x = -33 + 0 2 + 7x = -33 Add '-2' to each side of the equation. 2 + -2 + 7x = -33 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = -33 + -2 7x = -33 + -2 Combine like terms: -33 + -2 = -35 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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