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Simplifying -7(x + 3) = 5x + -33 Reorder the terms: -7(3 + x) = 5x + -33 (3 * -7 + x * -7) = 5x + -33 (-21 + -7x) = 5x + -33 Reorder the terms: -21 + -7x = -33 + 5x Solving -21 + -7x = -33 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -21 + -7x + -5x = -33 + 5x + -5x Combine like terms: -7x + -5x = -12x -21 + -12x = -33 + 5x + -5x Combine like terms: 5x + -5x = 0 -21 + -12x = -33 + 0 -21 + -12x = -33 Add '21' to each side of the equation. -21 + 21 + -12x = -33 + 21 Combine like terms: -21 + 21 = 0 0 + -12x = -33 + 21 -12x = -33 + 21 Combine like terms: -33 + 21 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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