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Simplifying -2(x + -3) + -4x + 3 = -33 Reorder the terms: -2(-3 + x) + -4x + 3 = -33 (-3 * -2 + x * -2) + -4x + 3 = -33 (6 + -2x) + -4x + 3 = -33 Reorder the terms: 6 + 3 + -2x + -4x = -33 Combine like terms: 6 + 3 = 9 9 + -2x + -4x = -33 Combine like terms: -2x + -4x = -6x 9 + -6x = -33 Solving 9 + -6x = -33 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -6x = -33 + -9 Combine like terms: 9 + -9 = 0 0 + -6x = -33 + -9 -6x = -33 + -9 Combine like terms: -33 + -9 = -42 -6x = -42 Divide each side by '-6'. x = 7 Simplifying x = 7
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