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Simplifying -5(x + 3) = 33 + 7x Reorder the terms: -5(3 + x) = 33 + 7x (3 * -5 + x * -5) = 33 + 7x (-15 + -5x) = 33 + 7x Solving -15 + -5x = 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. -15 + -5x + -7x = 33 + 7x + -7x Combine like terms: -5x + -7x = -12x -15 + -12x = 33 + 7x + -7x Combine like terms: 7x + -7x = 0 -15 + -12x = 33 + 0 -15 + -12x = 33 Add '15' to each side of the equation. -15 + 15 + -12x = 33 + 15 Combine like terms: -15 + 15 = 0 0 + -12x = 33 + 15 -12x = 33 + 15 Combine like terms: 33 + 15 = 48 -12x = 48 Divide each side by '-12'. x = -4 Simplifying x = -4
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