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Simplifying 4(3x + -2) = 7x + -33 Reorder the terms: 4(-2 + 3x) = 7x + -33 (-2 * 4 + 3x * 4) = 7x + -33 (-8 + 12x) = 7x + -33 Reorder the terms: -8 + 12x = -33 + 7x Solving -8 + 12x = -33 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -8 + 12x + -7x = -33 + 7x + -7x Combine like terms: 12x + -7x = 5x -8 + 5x = -33 + 7x + -7x Combine like terms: 7x + -7x = 0 -8 + 5x = -33 + 0 -8 + 5x = -33 Add '8' to each side of the equation. -8 + 8 + 5x = -33 + 8 Combine like terms: -8 + 8 = 0 0 + 5x = -33 + 8 5x = -33 + 8 Combine like terms: -33 + 8 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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