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Simplifying -4(x + -5) = 9x + 33 Reorder the terms: -4(-5 + x) = 9x + 33 (-5 * -4 + x * -4) = 9x + 33 (20 + -4x) = 9x + 33 Reorder the terms: 20 + -4x = 33 + 9x Solving 20 + -4x = 33 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 20 + -4x + -9x = 33 + 9x + -9x Combine like terms: -4x + -9x = -13x 20 + -13x = 33 + 9x + -9x Combine like terms: 9x + -9x = 0 20 + -13x = 33 + 0 20 + -13x = 33 Add '-20' to each side of the equation. 20 + -20 + -13x = 33 + -20 Combine like terms: 20 + -20 = 0 0 + -13x = 33 + -20 -13x = 33 + -20 Combine like terms: 33 + -20 = 13 -13x = 13 Divide each side by '-13'. x = -1 Simplifying x = -1
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