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Simplifying -4(3 + -1x) = 20(x + 33) (3 * -4 + -1x * -4) = 20(x + 33) (-12 + 4x) = 20(x + 33) Reorder the terms: -12 + 4x = 20(33 + x) -12 + 4x = (33 * 20 + x * 20) -12 + 4x = (660 + 20x) Solving -12 + 4x = 660 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -12 + 4x + -20x = 660 + 20x + -20x Combine like terms: 4x + -20x = -16x -12 + -16x = 660 + 20x + -20x Combine like terms: 20x + -20x = 0 -12 + -16x = 660 + 0 -12 + -16x = 660 Add '12' to each side of the equation. -12 + 12 + -16x = 660 + 12 Combine like terms: -12 + 12 = 0 0 + -16x = 660 + 12 -16x = 660 + 12 Combine like terms: 660 + 12 = 672 -16x = 672 Divide each side by '-16'. x = -42 Simplifying x = -42
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